976869504 has 256 divisors, whose sum is σ = 3290112000. Its totient is φ = 282673152.

The previous prime is 976869499. The next prime is 976869511. The reversal of 976869504 is 405968679.

976869504 is a `hidden beast` number, since 9 + 76 + 8 + 69 + 504 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 763137 + ... + 764415.

It is an arithmetic number, because the mean of its divisors is an integer number (12852000).

Almost surely, 2^976869504 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 976869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

976869504 is an abundant number, since it is smaller than the sum of its proper divisors (2313242496).

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

976869504 is a wasteful number, since it uses less digits than its factorization.

976869504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 976869504 is about 31254.9116780067. The cubic root of 976869504 is about 992.2296121282.

The spelling of 976869504 in words is "nine hundred seventy-six million, eight hundred sixty-nine thousand, five hundred four".