976946880 has 448 divisors, whose sum is σ = 3908072448. Its totient is φ = 201277440.

The previous prime is 976946879. The next prime is 976946909. The reversal of 976946880 is 88649679.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 976946880.

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 63 ways as a sum of consecutive naturals, for example, 4629975 + ... + 4630185.

It is an arithmetic number, because the mean of its divisors is an integer number (8723376).

Almost surely, 2^976946880 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 976946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954036224).

976946880 is an abundant number, since it is smaller than the sum of its proper divisors (2931125568).

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

976946880 is a wasteful number, since it uses less digits than its factorization.

976946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 976946880 is about 31256.1494749433. The cubic root of 976946880 is about 992.2558089850.

The spelling of 976946880 in words is "nine hundred seventy-six million, nine hundred forty-six thousand, eight hundred eighty".