972808704 has 240 divisors, whose sum is σ = 3330495168. Its totient is φ = 277696512.

The previous prime is 972808687. The next prime is 972808777. The reversal of 972808704 is 407808279.

972808704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 972808704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870354 + ... + 871470.

Almost surely, 2^972808704 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 972808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665247584).

972808704 is an abundant number, since it is smaller than the sum of its proper divisors (2357686464).

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

972808704 is an equidigital number, since it uses as much as digits as its factorization.

972808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 972808704 is about 31189.8814361325. The cubic root of 972808704 is about 990.8528188616.

The spelling of 972808704 in words is "nine hundred seventy-two million, eight hundred eight thousand, seven hundred four".