975883680 has 192 divisors, whose sum is σ = 3434296320. Its totient is φ = 258812928.

The previous prime is 975883663. The next prime is 975883693. The reversal of 975883680 is 86388579.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 962854 + ... + 963866.

It is an arithmetic number, because the mean of its divisors is an integer number (17886960).

Almost surely, 2^975883680 is an apocalyptic number.

975883680 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 975883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

975883680 is an abundant number, since it is smaller than the sum of its proper divisors (2458412640).

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

975883680 is a wasteful number, since it uses less digits than its factorization.

975883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 975883680 is about 31239.1369919209. The cubic root of 975883680 is about 991.8957248181.

The spelling of 975883680 in words is "nine hundred seventy-five million, eight hundred eighty-three thousand, six hundred eighty".