880088960 has 64 divisors (see below), whose sum is σ = 2127740400. Its totient is φ = 348057600.

The previous prime is 880088933. The next prime is 880088983. The reversal of 880088960 is 69880088.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49235 + ... + 64685.

Almost surely, 2^880088960 is an apocalyptic number.

880088960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063870200).

880088960 is an abundant number, since it is smaller than the sum of its proper divisors (1247651440).

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

880088960 is a wasteful number, since it uses less digits than its factorization.

880088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15559 (or 15547 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 880088960 is about 29666.2933309842. The cubic root of 880088960 is about 958.3162615904.

The spelling of 880088960 in words is "eight hundred eighty million, eighty-eight thousand, nine hundred sixty".