79730208 has 72 divisors (see below), whose sum is σ = 229061196. Its totient is φ = 26304000.

The previous prime is 79730159. The next prime is 79730249. The reversal of 79730208 is 80203797.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 2782224 = 8772^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 27718 + ... + 30458.

Almost surely, 2^79730208 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 79730208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114530598).

79730208 is an abundant number, since it is smaller than the sum of its proper divisors (149330988).

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

79730208 is a wasteful number, since it uses less digits than its factorization.

79730208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 79730208 is about 8929.1773417264. The cubic root of 79730208 is about 430.4020181126.

The spelling of 79730208 in words is "seventy-nine million, seven hundred thirty thousand, two hundred eight".