979122816 has 224 divisors, whose sum is σ = 3344580000. Its totient is φ = 279562752.

The previous prime is 979122797. The next prime is 979122829. The reversal of 979122816 is 618221979.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652435 + ... + 653933.

Almost surely, 2^979122816 is an apocalyptic number.

979122816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672290000).

979122816 is an abundant number, since it is smaller than the sum of its proper divisors (2365457184).

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

979122816 is an equidigital number, since it uses as much as digits as its factorization.

979122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1511 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 979122816 is about 31290.9382409668. The cubic root of 979122816 is about 992.9919404974.

The spelling of 979122816 in words is "nine hundred seventy-nine million, one hundred twenty-two thousand, eight hundred sixteen".