976288720 has 80 divisors (see below), whose sum is σ = 2536712640. Its totient is φ = 346342400.

The previous prime is 976288711. The next prime is 976288721. The reversal of 976288720 is 27882679.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976288721) 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, 22551 + ... + 49609.

It is an arithmetic number, because the mean of its divisors is an integer number (31708908).

Almost surely, 2^976288720 is an apocalyptic number.

976288720 is the 18040-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 976288720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268356320).

976288720 is an abundant number, since it is smaller than the sum of its proper divisors (1560423920).

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

976288720 is a wasteful number, since it uses less digits than its factorization.

976288720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27124 (or 27118 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 976288720 is about 31245.6192129393. The cubic root of 976288720 is about 992.0329344338.

The spelling of 976288720 in words is "nine hundred seventy-six million, two hundred eighty-eight thousand, seven hundred twenty".