975158880 has 96 divisors (see below), whose sum is σ = 3080851200. Its totient is φ = 259272192.

The previous prime is 975158861. The next prime is 975158911. The reversal of 975158880 is 88851579.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169491 + ... + 175149.

It is an arithmetic number, because the mean of its divisors is an integer number (32092200).

Almost surely, 2^975158880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540425600).

975158880 is an abundant number, since it is smaller than the sum of its proper divisors (2105692320).

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

975158880 is a wasteful number, since it uses less digits than its factorization.

975158880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 51.

The square root of 975158880 is about 31227.5340044647. The cubic root of 975158880 is about 991.6500998888.

The spelling of 975158880 in words is "nine hundred seventy-five million, one hundred fifty-eight thousand, eight hundred eighty".