975855760 has 320 divisors, whose sum is σ = 2821319424. Its totient is φ = 309657600.

The previous prime is 975855739. The next prime is 975855779. The reversal of 975855760 is 67558579.

It is a junction number, because it is equal to n+sod(n) for n = 975855698 and 975855707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22694299 + ... + 22694341.

Almost surely, 2^975855760 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 975855760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410659712).

975855760 is an abundant number, since it is smaller than the sum of its proper divisors (1845463664).

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

975855760 is a wasteful number, since it uses less digits than its factorization.

975855760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 52.

The square root of 975855760 is about 31238.6901133834. The cubic root of 975855760 is about 991.8862653598.

The spelling of 975855760 in words is "nine hundred seventy-five million, eight hundred fifty-five thousand, seven hundred sixty".