Number

760

760 is a composite number, even, a calendar year.

760 (seven hundred sixty) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 19. Its proper divisors sum to 1,040, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCLX and in binary, 1011111000.

Abundant Number Centered Triangular Descending Digits Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772

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Historical context — 760 AD

Calendar year

Year 760 (DCCLX) was a leap year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 760 BC

Decade

This article concerns the period 769 BC – 760 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Friday
January 1, 760
Ended on: Saturday
December 31, 760
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 760s
760–769
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,266
1266 years before 2026.

In other calendars

Hebrew: 4520 / 4521 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 142 / 143 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1303 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 138 / 139 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 752 / 753 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 682 / 681 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 67
Recamán's sequence: a(911) = 760
Square (n²): 577,600
Cube (n³): 438,976,000
Divisor count: 16
σ(n) — sum of divisors: 1,800
φ(n) — Euler's totient: 288
Sum of prime factors: 30

Primality

Prime factorization: 2 ³ × 5 × 19

Nearest primes: 757 (−3) · 761 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 38 · 40 · 76 · 95 · 152 · 190 · 380 (half) · 760

Aliquot sum (sum of proper divisors): 1,040

Factor pairs (a × b = 760)

1 × 760

2 × 380

4 × 190

5 × 152

8 × 95

10 × 76

19 × 40

20 × 38

First multiples

760 · 1,520 (double) · 2,280 · 3,040 · 3,800 · 4,560 · 5,320 · 6,080 · 6,840 · 7,600

Sums & aliquot sequence

As consecutive integers: 150 + 151 + 152 + 153 + 154 40 + 41 + … + 55 31 + 32 + … + 49

Aliquot sequence: 760 → 1,040 → 1,564 → 1,460 → 1,648 → 1,576 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 — unresolved within range

Continued fraction of √n

√760 = [27; (1, 1, 3, 5, 1, 5, 3, 1, 1, 54)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: seven hundred sixty
Ordinal: 760th
Roman numeral: DCCLX
Binary: 1011111000
Octal: 1370
Hexadecimal: 0x2F8
Base64: Avg=
One's complement: 64,775 (16-bit)
Scientific notation: 7.6 × 10²
As a duration: 760 s = 12 minutes, 40 seconds

In other bases

ternary (3) 1001011

quaternary (4) 23320

quinary (5) 11020

senary (6) 3304

septenary (7) 2134

nonary (9) 1034

undecimal (11) 631

duodecimal (12) 534

tridecimal (13) 466

tetradecimal (14) 3c4

pentadecimal (15) 35a

As an angle

760° = 2 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ψξʹ
Mayan (base 20): 𝋡·𝋲·𝋠
Chinese: 七百六十
Chinese (financial): 柒佰陸拾

In other modern scripts

Eastern Arabic ٧٦٠ Devanagari ७६० Bengali ৭৬০ Tamil ௭௬௦ Thai ๗๖๐ Tibetan ༧༦༠ Khmer ៧៦០ Lao ໗໖໐ Burmese ၇၆၀

Digit at this position in famous constants

π — Pi (π): Digit 760 = 1
e — Euler's number (e): Digit 760 = 9
φ — Golden ratio (φ): Digit 760 = 9
√2 — Pythagoras's (√2): Digit 760 = 0
ln 2 — Natural log of 2: Digit 760 = 8
γ — Euler-Mascheroni (γ): Digit 760 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 760, here are decompositions:

3 + 757 = 760
17 + 743 = 760
41 + 719 = 760
59 + 701 = 760
83 + 677 = 760
101 + 659 = 760
107 + 653 = 760
113 + 647 = 760

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter Raised Colon

U+02F8

Modifier symbol (Sk)

UTF-8 encoding: CB B8 (2 bytes).

Lookup U+02F8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002F8

RGB(0, 2, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.248.

Address: 0.0.2.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.248

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 760

The number 760 is an active NANP area code (North American Numbering Plan).

Primary area: San Diego County / Palm Springs
Region: California
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 760 ↗

Musical pitch

Heard as a frequency, 760 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, +46¢ — about midway to G5)
Scientific pitch (C4 = 256 Hz): G5 (767.1 Hz, -16¢)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, +47¢ — about midway to G♯5)

Physics & measurement

760 is standard atmospheric pressure in millimetres of mercury (760 mmHg = 1 atm).

Atmosphere (unit) on Wikipedia ↗