79388100 has 243 divisors, whose sum is σ = 284021101. Its totient is φ = 19245600.

The previous prime is 79388093. The next prime is 79388129. The reversal of 79388100 is 188397.

The square root of 79388100 is 8910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28579716 + 50808384 = 5346^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×79388100² = 12604940843220000, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7217095 + ... + 7217105.

Almost surely, 2^79388100 is an apocalyptic number.

79388100 is the 8910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79388100

79388100 is an abundant number, since it is smaller than the sum of its proper divisors (204633001).

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

79388100 is a wasteful number, since it uses less digits than its factorization.

79388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 79388100 is about 429.7855429609.

Multiplying 79388100 by its sum of digits (36), we get a square (2857971600 = 53460²).

79388100 divided by its sum of digits (36) gives a square (2205225 = 1485²).

The spelling of 79388100 in words is "seventy-nine million, three hundred eighty-eight thousand, one hundred".