979825920 has 288 divisors, whose sum is σ = 3284789760. Its totient is φ = 248709120.

The previous prime is 979825901. The next prime is 979825933. The reversal of 979825920 is 29528979.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11009236 + ... + 11009324.

It is an arithmetic number, because the mean of its divisors is an integer number (11405520).

Almost surely, 2^979825920 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 979825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642394880).

979825920 is an abundant number, since it is smaller than the sum of its proper divisors (2304963840).

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

979825920 is a wasteful number, since it uses less digits than its factorization.

979825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 979825920 is about 31302.1711707032. The cubic root of 979825920 is about 993.2295714126.

The spelling of 979825920 in words is "nine hundred seventy-nine million, eight hundred twenty-five thousand, nine hundred twenty".