972785760 has 96 divisors (see below), whose sum is σ = 3092554080. Its totient is φ = 257015808.

The previous prime is 972785719. The next prime is 972785761. The reversal of 972785760 is 67587279.

972785760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972785761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43024 + ... + 61616.

It is an arithmetic number, because the mean of its divisors is an integer number (32214105).

Almost surely, 2^972785760 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 972785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546277040).

972785760 is an abundant number, since it is smaller than the sum of its proper divisors (2119768320).

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

972785760 is a wasteful number, since it uses less digits than its factorization.

972785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720 (or 18712 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 972785760 is about 31189.5136223699. The cubic root of 972785760 is about 990.8450289416.

The spelling of 972785760 in words is "nine hundred seventy-two million, seven hundred eighty-five thousand, seven hundred sixty".