976818960 has 320 divisors, whose sum is σ = 3712262400. Its totient is φ = 234565632.

The previous prime is 976818889. The next prime is 976818961. The reversal of 976818960 is 69818679.

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

It is a junction number, because it is equal to n+sod(n) for n = 976818897 and 976818906.

It is not an unprimeable number, because it can be changed into a prime (976818961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1207036 + ... + 1207844.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 2^976818960 is an apocalyptic number.

976818960 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 976818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

976818960 is an abundant number, since it is smaller than the sum of its proper divisors (2735443440).

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

976818960 is a wasteful number, since it uses less digits than its factorization.

976818960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 976818960 is about 31254.1030906344. The cubic root of 976818960 is about 992.2124989184.

The spelling of 976818960 in words is "nine hundred seventy-six million, eight hundred eighteen thousand, nine hundred sixty".