975900900 has 144 divisors (see below), whose sum is σ = 3123452864. Its totient is φ = 233694720.

The previous prime is 975900881. The next prime is 975900949. The reversal of 975900900 is 9009579.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 140919 + ... + 147681.

Almost surely, 2^975900900 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 975900900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561726432).

975900900 is an abundant number, since it is smaller than the sum of its proper divisors (2147551964).

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

975900900 is a wasteful number, since it uses less digits than its factorization.

975900900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 39.

The square root of 975900900 is about 31239.4126065136. The cubic root of 975900900 is about 991.9015589642.

The spelling of 975900900 in words is "nine hundred seventy-five million, nine hundred thousand, nine hundred".