Number

764

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

Arithmetic Number Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 764 AD

Calendar year

Year 764 (DCCLXIV) was a leap year starting on Sunday of the Julian calendar, the 764th year of the Common Era (CE) and Anno Domini (AD) designations, the 764th year of the 1st millennium, the 64th year of the 8th century, and the 5th year of the 760s decade.

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Historical context — 764 BC

Decade

This article concerns the period 769 BC – 760 BC.

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Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 764
Ended on: Thursday
December 31, 764
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 760s
760–769
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,262
1262 years before 2026.

In other calendars

Hebrew: 4524 / 4525 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 146 / 147 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1307 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 142 / 143 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 756 / 757 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 686 / 685 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 17
Digit product: 168
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 467
Recamán's sequence: a(903) = 764
Square (n²): 583,696
Cube (n³): 445,943,744
Divisor count: 6
σ(n) — sum of divisors: 1,344
φ(n) — Euler's totient: 380
Sum of prime factors: 195

Primality

Prime factorization: 2 ² × 191

Nearest primes: 761 (−3) · 769 (+5)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 191 · 382 (half) · 764

Aliquot sum (sum of proper divisors): 580

Factor pairs (a × b = 764)

1 × 764

2 × 382

4 × 191

First multiples

764 · 1,528 (double) · 2,292 · 3,056 · 3,820 · 4,584 · 5,348 · 6,112 · 6,876 · 7,640

Sums & aliquot sequence

As consecutive integers: 92 + 93 + … + 99

Aliquot sequence: 764 → 580 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 — unresolved within range

Representations

In words: seven hundred sixty-four
Ordinal: 764th
Roman numeral: DCCLXIV
Binary: 1011111100
Octal: 1374
Hexadecimal: 0x2FC
Base64: Avw=
One's complement: 64,771 (16-bit)

In other bases

ternary (3) 1001022

quaternary (4) 23330

quinary (5) 11024

senary (6) 3312

septenary (7) 2141

nonary (9) 1038

undecimal (11) 635

duodecimal (12) 538

tridecimal (13) 46a

tetradecimal (14) 3c8

pentadecimal (15) 35e

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ψξδʹ
Mayan (base 20): 𝋡·𝋲·𝋤
Chinese: 七百六十四
Chinese (financial): 柒佰陸拾肆

In other modern scripts

Eastern Arabic ٧٦٤ Devanagari ७६४ Bengali ৭৬৪ Tamil ௭௬௪ Thai ๗๖๔ Tibetan ༧༦༤ Khmer ៧៦៤ Lao ໗໖໔ Burmese ၇၆၄

Digit at this position in famous constants

π — Pi (π): Digit 764 = 9
e — Euler's number (e): Digit 764 = 0
φ — Golden ratio (φ): Digit 764 = 1
√2 — Pythagoras's (√2): Digit 764 = 6
ln 2 — Natural log of 2: Digit 764 = 7
γ — Euler-Mascheroni (γ): Digit 764 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 764, here are decompositions:

3 + 761 = 764
7 + 757 = 764
13 + 751 = 764
31 + 733 = 764
37 + 727 = 764
73 + 691 = 764
103 + 661 = 764
151 + 613 = 764

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter End Low Tone

U+02FC

Modifier symbol (Sk)

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

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

Hex color

#0002FC

RGB(0, 2, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.252.

Address: 0.0.2.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.252

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