976752000 has 1024 divisors, whose sum is σ = 4582656000. Its totient is φ = 199065600.

The previous prime is 976751989. The next prime is 976752001. The reversal of 976752000 is 257679.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976752001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51407991 + ... + 51408009.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2^976752000 is an apocalyptic number.

976752000 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 976752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291328000).

976752000 is an abundant number, since it is smaller than the sum of its proper divisors (3605904000).

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

976752000 is a wasteful number, since it uses less digits than its factorization.

976752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 976752000 is about 31253.0318529259. The cubic root of 976752000 is about 992.1898266629.

The spelling of 976752000 in words is "nine hundred seventy-six million, seven hundred fifty-two thousand".