880
880 is a composite number, even, a calendar year.
880 (eight hundred eighty) is an even 3-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 11. Its proper divisors sum to 1,352, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCCLXXX and in binary, 1101110000.
Interestingness
Historical context — 880 AD
Calendar year
Year 880 (DCCCLXXX) was a leap year starting on Friday of the Julian calendar.
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Historical context — 880 BC
Decade
This article concerns the period 889 BC – 880 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
- 52
- Started on
-
Monday
January 1, 880
- Ended on
-
Tuesday
December 31, 880
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
880s
880–889
- Century
-
9th century
801–900
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,146
1146 years before 2026.
In other calendars
- Hebrew
-
4640 / 4641 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
266 / 267 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
-
1423 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
258 / 259 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
872 / 873 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
802 / 801 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 3
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 10 bits
- Reversed
- 88
- Flips to (rotate 180°)
- 88
- Recamán's sequence
- a(767) = 880
- Square (n²)
- 774,400
- Cube (n³)
- 681,472,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 2,232
- φ(n) — Euler's totient
- 320
- Sum of prime factors
- 24
Primality
Prime factorization: 2 4 × 5 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√880 = [29; (1, 1, 1, 58)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- eight hundred eighty
- Ordinal
- 880th
- Roman numeral
- DCCCLXXX
- Binary
- 1101110000
- Octal
- 1560
- Hexadecimal
- 0x370
- Base64
- A3A=
- One's complement
- 64,655 (16-bit)
- Scientific notation
- 8.8 × 10²
- As a duration
- 880 s = 14 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ωπʹ
- Mayan (base 20)
- 𝋢·𝋤·𝋠
- Chinese
- 八百八十
- Chinese (financial)
- 捌佰捌拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 880 = 8
- e — Euler's number (e)
- Digit 880 = 3
- φ — Golden ratio (φ)
- Digit 880 = 1
- √2 — Pythagoras's (√2)
- Digit 880 = 5
- ln 2 — Natural log of 2
- Digit 880 = 3
- γ — Euler-Mascheroni (γ)
- Digit 880 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 880, here are decompositions:
- 3 + 877 = 880
- 17 + 863 = 880
- 23 + 857 = 880
- 41 + 839 = 880
- 53 + 827 = 880
- 59 + 821 = 880
- 71 + 809 = 880
- 83 + 797 = 880
Showing the first eight; more decompositions exist.
UTF-8 encoding: CD B0 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.112.
- Address
- 0.0.3.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.112
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 880 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A5 (880 Hz, exact)
- Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, +38¢)
- Baroque pitch (A4 = 415 Hz): A♯5 (879.4 Hz, +1¢)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.