Number

766

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

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 766 AD

Calendar year

Year 766 (DCCLXVI) was a common year starting on Wednesday of the Julian calendar, the 766th year of the Common Era (CE) and Anno Domini (AD) designations, the 766th year of the 1st millennium, the 66th year of the 8th century, and the 7th year of the 760s decade.

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Historical context — 766 BC

Decade

This article concerns the period 769 BC – 760 BC.

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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: 52
Started on: Saturday
January 1, 766
Ended on: Saturday
December 31, 766
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: 1,260
1260 years before 2026.

In other calendars

Hebrew: 4526 / 4527 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 148 / 149 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Horse
Sexagenary cycle position 43 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1309 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 144 / 145 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 758 / 759 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 688 / 687 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 19
Digit product: 252
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 667
Recamán's sequence: a(899) = 766
Square (n²): 586,756
Cube (n³): 449,455,096
Divisor count: 4
σ(n) — sum of divisors: 1,152
φ(n) — Euler's totient: 382
Sum of prime factors: 385

Primality

Prime factorization: 2 × 383

Nearest primes: 761 (−5) · 769 (+3)

Divisors & multiples

All divisors (4)

1 · 2 · 383 (half) · 766

Aliquot sum (sum of proper divisors): 386

Factor pairs (a × b = 766)

1 × 766

2 × 383

First multiples

766 · 1,532 (double) · 2,298 · 3,064 · 3,830 · 4,596 · 5,362 · 6,128 · 6,894 · 7,660

Sums & aliquot sequence

As consecutive integers: 190 + 191 + 192 + 193

Aliquot sequence: 766 → 386 → 196 → 203 → 37 → 1 → 0 — terminates at zero

Representations

In words: seven hundred sixty-six
Ordinal: 766th
Roman numeral: DCCLXVI
Binary: 1011111110
Octal: 1376
Hexadecimal: 0x2FE
Base64: Av4=
One's complement: 64,769 (16-bit)

In other bases

ternary (3) 1001101

quaternary (4) 23332

quinary (5) 11031

senary (6) 3314

septenary (7) 2143

nonary (9) 1041

undecimal (11) 637

duodecimal (12) 53a

tridecimal (13) 46c

tetradecimal (14) 3ca

pentadecimal (15) 361

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψξϛʹ
Mayan (base 20): 𝋡·𝋲·𝋦
Chinese: 七百六十六
Chinese (financial): 柒佰陸拾陸

In other modern scripts

Eastern Arabic ٧٦٦ Devanagari ७६६ Bengali ৭৬৬ Tamil ௭௬௬ Thai ๗๖๖ Tibetan ༧༦༦ Khmer ៧៦៦ Lao ໗໖໖ Burmese ၇၆၆

Digit at this position in famous constants

π — Pi (π): Digit 766 = 9
e — Euler's number (e): Digit 766 = 6
φ — Golden ratio (φ): Digit 766 = 2
√2 — Pythagoras's (√2): Digit 766 = 4
ln 2 — Natural log of 2: Digit 766 = 1
γ — Euler-Mascheroni (γ): Digit 766 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 766, here are decompositions:

5 + 761 = 766
23 + 743 = 766
47 + 719 = 766
83 + 683 = 766
89 + 677 = 766
107 + 659 = 766
113 + 653 = 766
149 + 617 = 766

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter Open Shelf

U+02FE

Modifier symbol (Sk)

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

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

Hex color

#0002FE

RGB(0, 2, 254)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.254.

Address: 0.0.2.254
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.254

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