979807920 has 720 divisors, whose sum is σ = 4190758560. Its totient is φ = 187858944.

The previous prime is 979807909. The next prime is 979807931. The reversal of 979807920 is 29708979.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (979807909) and next prime (979807931).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33786466 + ... + 33786494.

It is an arithmetic number, because the mean of its divisors is an integer number (5820498).

Almost surely, 2^979807920 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 979807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095379280).

979807920 is an abundant number, since it is smaller than the sum of its proper divisors (3210950640).

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

979807920 is a wasteful number, since it uses less digits than its factorization.

979807920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The square root of 979807920 is about 31301.8836493908. The cubic root of 979807920 is about 993.2234892976.

The spelling of 979807920 in words is "nine hundred seventy-nine million, eight hundred seven thousand, nine hundred twenty".