79966400 has 168 divisors, whose sum is σ = 214298784. Its totient is φ = 29286400.

The previous prime is 79966387. The next prime is 79966457. The reversal of 79966400 is 466997.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508774 + ... + 1508826.

It is an arithmetic number, because the mean of its divisors is an integer number (1275588).

Almost surely, 2^79966400 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 79966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107149392).

79966400 is an abundant number, since it is smaller than the sum of its proper divisors (134332384).

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

79966400 is a wasteful number, since it uses less digits than its factorization.

79966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 79966400 is about 8942.3934156354. The cubic root of 79966400 is about 430.8266053877.

The spelling of 79966400 in words is "seventy-nine million, nine hundred sixty-six thousand, four hundred".