79923600 has 135 divisors (see below), whose sum is σ = 279231043. Its totient is φ = 21169920.

The previous prime is 79923593. The next prime is 79923601. The reversal of 79923600 is 632997.

The square root of 79923600 is 8940.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23853456 + 56070144 = 4884^2 + 7488^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79923601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536326 + ... + 536474.

Almost surely, 2^79923600 is an apocalyptic number.

79923600 is the 8940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79923600

79923600 is an abundant number, since it is smaller than the sum of its proper divisors (199307443).

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

79923600 is a wasteful number, since it uses less digits than its factorization.

79923600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The cubic root of 79923600 is about 430.7497286435.

Multiplying 79923600 by its sum of digits (36), we get a square (2877249600 = 53640²).

79923600 divided by its sum of digits (36) gives a square (2220100 = 1490²).

The spelling of 79923600 in words is "seventy-nine million, nine hundred twenty-three thousand, six hundred".