79922304 has 384 divisors, whose sum is σ = 309329280. Its totient is φ = 19169280.

The previous prime is 79922279. The next prime is 79922329. The reversal of 79922304 is 40322997.

It is an interprime number because it is at equal distance from previous prime (79922279) and next prime (79922329).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1507942 + ... + 1507994.

It is an arithmetic number, because the mean of its divisors is an integer number (805545).

Almost surely, 2^79922304 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 79922304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

79922304 is an abundant number, since it is smaller than the sum of its proper divisors (229406976).

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

79922304 is a wasteful number, since it uses less digits than its factorization.

79922304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

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

The square root of 79922304 is about 8939.9275164847. The cubic root of 79922304 is about 430.7474003589.

It can be divided in two parts, 7992 and 2304, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 79922304 in words is "seventy-nine million, nine hundred twenty-two thousand, three hundred four".