975880800 has 432 divisors, whose sum is σ = 3685264128. Its totient is φ = 242457600.

The previous prime is 975880771. The next prime is 975880859. The reversal of 975880800 is 8088579.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11757559 + ... + 11757641.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2^975880800 is an apocalyptic number.

975880800 is a gapful number since it is divisible by the number (90) 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 975880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842632064).

975880800 is an abundant number, since it is smaller than the sum of its proper divisors (2709383328).

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

975880800 is a wasteful number, since it uses less digits than its factorization.

975880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 975880800 is about 31239.0908958632. The cubic root of 975880800 is about 991.8947490657.

The spelling of 975880800 in words is "nine hundred seventy-five million, eight hundred eighty thousand, eight hundred".