979322400 has 720 divisors, whose sum is σ = 4355721216. Its totient is φ = 209018880.

The previous prime is 979322387. The next prime is 979322411. The reversal of 979322400 is 4223979.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7711137 + ... + 7711263.

Almost surely, 2^979322400 is an apocalyptic number.

979322400 is a gapful number since it is divisible by the number (90) 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 979322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177860608).

979322400 is an abundant number, since it is smaller than the sum of its proper divisors (3376398816).

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

979322400 is a wasteful number, since it uses less digits than its factorization.

979322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 979322400 is about 31294.1272445806. The cubic root of 979322400 is about 993.0594062724.

The spelling of 979322400 in words is "nine hundred seventy-nine million, three hundred twenty-two thousand, four hundred".