975763920 has 160 divisors (see below), whose sum is σ = 3158797824. Its totient is φ = 248934400.

The previous prime is 975763913. The next prime is 975763939. The reversal of 975763920 is 29367579.

975763920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 975763920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520585 + ... + 522455.

Almost surely, 2^975763920 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 975763920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

975763920 is an abundant number, since it is smaller than the sum of its proper divisors (2183033904).

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

975763920 is a wasteful number, since it uses less digits than its factorization.

975763920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 975763920 is about 31237.2201067893. The cubic root of 975763920 is about 991.8551481612.

The spelling of 975763920 in words is "nine hundred seventy-five million, seven hundred sixty-three thousand, nine hundred twenty".