880976000 has 64 divisors (see below), whose sum is σ = 2190366360. Its totient is φ = 352384000.

The previous prime is 880975999. The next prime is 880976069. The reversal of 880976000 is 679088.

It can be written as a sum of positive squares in 4 ways, for example, as 243110464 + 637865536 = 15592^2 + 25256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×880976000² = 1552237425152000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11531 + ... + 43530.

Almost surely, 2^880976000 is an apocalyptic number.

880976000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880976000 is an abundant number, since it is smaller than the sum of its proper divisors (1309390360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

880976000 is an equidigital number, since it uses as much as digits as its factorization.

880976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55090 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 880976000 is about 29681.2398662859. The cubic root of 880976000 is about 958.6381151993.

The spelling of 880976000 in words is "eight hundred eighty million, nine hundred seventy-six thousand".