79918400 has 84 divisors (see below), whose sum is σ = 198424800. Its totient is φ = 31680000.

The previous prime is 79918361. The next prime is 79918439. The reversal of 79918400 is 481997.

It is an interprime number because it is at equal distance from previous prime (79918361) and next prime (79918439).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318275 + ... + 318525.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^79918400 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 79918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99212400).

79918400 is an abundant number, since it is smaller than the sum of its proper divisors (118506400).

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

79918400 is a wasteful number, since it uses less digits than its factorization.

79918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 79918400 is about 8939.7091675289. The cubic root of 79918400 is about 430.7403866087.

The spelling of 79918400 in words is "seventy-nine million, nine hundred eighteen thousand, four hundred".