972760700 has 36 divisors (see below), whose sum is σ = 2112411672. Its totient is φ = 388824000.

The previous prime is 972760661. The next prime is 972760741. The reversal of 972760700 is 7067279.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188150 + ... + 193250.

It is an arithmetic number, because the mean of its divisors is an integer number (58678102).

Almost surely, 2^972760700 is an apocalyptic number.

It is an amenable number.

972760700 is an abundant number, since it is smaller than the sum of its proper divisors (1139650972).

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

972760700 is a wasteful number, since it uses less digits than its factorization.

972760700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 972760700 is about 31189.1118821938. Note that the first 3 decimals coincide. The cubic root of 972760700 is about 990.8365204599.

The spelling of 972760700 in words is "nine hundred seventy-two million, seven hundred sixty thousand, seven hundred".