976948800 has 84 divisors (see below), whose sum is σ = 3205221936. Its totient is φ = 260518400.

The previous prime is 976948799. The next prime is 976948801. The reversal of 976948800 is 8849679.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (976948799) and next prime (976948801).

It is not an unprimeable number, because it can be changed into a prime (976948801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 96966 + ... + 106565.

It is an arithmetic number, because the mean of its divisors is an integer number (38157404).

Almost surely, 2^976948800 is an apocalyptic number.

It is an amenable number.

976948800 is an abundant number, since it is smaller than the sum of its proper divisors (2228273136).

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

976948800 is a wasteful number, since it uses less digits than its factorization.

976948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203556 (or 203541 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 976948800 is about 31256.1801888842. The cubic root of 976948800 is about 992.2564590135.

The spelling of 976948800 in words is "nine hundred seventy-six million, nine hundred forty-eight thousand, eight hundred".