79518400 has 84 divisors (see below), whose sum is σ = 210771232. Its totient is φ = 29352960.

The previous prime is 79518359. The next prime is 79518419. The reversal of 79518400 is 481597.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18889 + ... + 22711.

Almost surely, 2^79518400 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 79518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105385616).

79518400 is an abundant number, since it is smaller than the sum of its proper divisors (131252832).

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

79518400 is a wasteful number, since it uses less digits than its factorization.

79518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 79518400 is about 8917.3090111311. The cubic root of 79518400 is about 430.0205506674.

Adding to 79518400 its reverse (481597), we get a palindrome (79999997).

The spelling of 79518400 in words is "seventy-nine million, five hundred eighteen thousand, four hundred".