79959600 has 360 divisors, whose sum is σ = 335811840. Its totient is φ = 17210880.

The previous prime is 79959599. The next prime is 79959617. The reversal of 79959600 is 695997.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478717 + ... + 478883.

Almost surely, 2^79959600 is an apocalyptic number.

79959600 is a gapful number since it is divisible by the number (70) 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 79959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

79959600 is an abundant number, since it is smaller than the sum of its proper divisors (255852240).

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

79959600 is a wasteful number, since it uses less digits than its factorization.

79959600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 79959600 is about 8942.0131961432. The cubic root of 79959600 is about 430.8143931587.

The spelling of 79959600 in words is "seventy-nine million, nine hundred fifty-nine thousand, six hundred".