975456680 has 128 divisors (see below), whose sum is σ = 2523467520. Its totient is φ = 335892480.

The previous prime is 975456631. The next prime is 975456689. The reversal of 975456680 is 86654579.

It is not an unprimeable number, because it can be changed into a prime (975456689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143134 + ... + 1143986.

It is an arithmetic number, because the mean of its divisors is an integer number (19714590).

Almost surely, 2^975456680 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 975456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261733760).

975456680 is an abundant number, since it is smaller than the sum of its proper divisors (1548010840).

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

975456680 is a wasteful number, since it uses less digits than its factorization.

975456680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The square root of 975456680 is about 31232.3018684182. The cubic root of 975456680 is about 991.7510350114.

The spelling of 975456680 in words is "nine hundred seventy-five million, four hundred fifty-six thousand, six hundred eighty".