79315200 has 378 divisors, whose sum is σ = 311655834. Its totient is φ = 19906560.

The previous prime is 79315193. The next prime is 79315237. The reversal of 79315200 is 251397.

It can be written as a sum of positive squares in 3 ways, for example, as 11943936 + 67371264 = 3456^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665592 + ... + 4665608.

Almost surely, 2^79315200 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 79315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155827917).

79315200 is an abundant number, since it is smaller than the sum of its proper divisors (232340634).

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

79315200 is an equidigital number, since it uses as much as digits as its factorization.

79315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 79315200 is about 8905.9081513341. The cubic root of 79315200 is about 429.6539490938.

Adding to 79315200 its reverse (251397), we get a palindrome (79566597).

It can be divided in two parts, 7931 and 5200, that added together give a palindrome (13131).

The spelling of 79315200 in words is "seventy-nine million, three hundred fifteen thousand, two hundred".