Number

770

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

770 (seven hundred seventy) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 11. Its proper divisors sum to 958, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCLXX and in binary, 1100000010.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

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7 notable facts · grade B

758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782

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Historical context — 770 AD

Calendar year

Year 770 (DCCLXX) was a common year starting on Monday of the Julian calendar.

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

Historical context — 770 BC

Decade

This article concerns the period 779 BC – 770 BC.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 770
Ended on: Thursday
December 31, 770
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 770s
770–779
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,256
1256 years before 2026.

In other calendars

Hebrew: 4530 / 4531 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 152 / 154 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1313 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 148 / 149 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 762 / 763 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 692 / 691 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 10 bits
Reversed: 77
Recamán's sequence: a(891) = 770
Square (n²): 592,900
Cube (n³): 456,533,000
Divisor count: 16
σ(n) — sum of divisors: 1,728
φ(n) — Euler's totient: 240
Sum of prime factors: 25

Primality

Prime factorization: 2 × 5 × 7 × 11

Nearest primes: 769 (−1) · 773 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 7 · 10 · 11 · 14 · 22 · 35 · 55 · 70 · 77 · 110 · 154 · 385 (half) · 770

Aliquot sum (sum of proper divisors): 958

Factor pairs (a × b = 770)

1 × 770

2 × 385

5 × 154

7 × 110

10 × 77

11 × 70

14 × 55

22 × 35

First multiples

770 · 1,540 (double) · 2,310 · 3,080 · 3,850 · 4,620 · 5,390 · 6,160 · 6,930 · 7,700

Sums & aliquot sequence

As consecutive integers: 191 + 192 + 193 + 194 152 + 153 + 154 + 155 + 156 107 + 108 + … + 113 65 + 66 + … + 75

Aliquot sequence: 770 → 958 → 482 → 244 → 190 → 170 → 154 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√770 = [27; (1, 2, 1, 54)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: seven hundred seventy
Ordinal: 770th
Roman numeral: DCCLXX
Binary: 1100000010
Octal: 1402
Hexadecimal: 0x302
Base64: AwI=
One's complement: 64,765 (16-bit)
Scientific notation: 7.7 × 10²
As a duration: 770 s = 12 minutes, 50 seconds

In other bases

ternary (3) 1001112

quaternary (4) 30002

quinary (5) 11040

senary (6) 3322

septenary (7) 2150

nonary (9) 1045

undecimal (11) 640

duodecimal (12) 542

tridecimal (13) 473

tetradecimal (14) 3d0

pentadecimal (15) 365

As an angle

770° = 2 × 360° + 50°

50° ≈ 0.873 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ψοʹ
Mayan (base 20): 𝋡·𝋲·𝋪
Chinese: 七百七十
Chinese (financial): 柒佰柒拾

In other modern scripts

Eastern Arabic ٧٧٠ Devanagari ७७० Bengali ৭৭০ Tamil ௭௭௦ Thai ๗๗๐ Tibetan ༧༧༠ Khmer ៧៧០ Lao ໗໗໐ Burmese ၇၇၀

Digit at this position in famous constants

π — Pi (π): Digit 770 = 3
e — Euler's number (e): Digit 770 = 8
φ — Golden ratio (φ): Digit 770 = 5
√2 — Pythagoras's (√2): Digit 770 = 7
ln 2 — Natural log of 2: Digit 770 = 6
γ — Euler-Mascheroni (γ): Digit 770 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 770, here are decompositions:

13 + 757 = 770
19 + 751 = 770
31 + 739 = 770
37 + 733 = 770
43 + 727 = 770
61 + 709 = 770
79 + 691 = 770
97 + 673 = 770

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Circumflex Accent

U+0302

Non-spacing mark (Mn)

UTF-8 encoding: CC 82 (2 bytes).

Lookup U+0302 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000302

RGB(0, 3, 2)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.2.

Address: 0.0.3.2
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.2

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

NANP area code 770

The number 770 is an active NANP area code (North American Numbering Plan).

Primary area: Atlanta suburbs
Region: Georgia
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 770 ↗

Musical pitch

Heard as a frequency, 770 Hz is closest to:

Concert pitch (A4 = 440 Hz): G5 (784 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): G5 (767.1 Hz, +6¢)
Baroque pitch (A4 = 415 Hz): G♯5 (783.4 Hz, -30¢)