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Number

760

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

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

Historical context — 760 AD

Calendar year

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

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Historical context — 760 BC

Decade

This article concerns the period 769 BC – 760 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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

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)
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

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).

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.