79312000 has 64 divisors (see below), whose sum is σ = 197229240. Its totient is φ = 31718400.

The previous prime is 79311977. The next prime is 79312001. The reversal of 79312000 is 21397.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 41267776 = 6168^2 + 6424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (79312001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13522 + ... + 18478.

Almost surely, 2^79312000 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 79312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98614620).

79312000 is an abundant number, since it is smaller than the sum of its proper divisors (117917240).

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

79312000 is an equidigital number, since it uses as much as digits as its factorization.

79312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 79312000 is about 8905.7284935035. The cubic root of 79312000 is about 429.6481708356.

Adding to 79312000 its reverse (21397), we get a palindrome (79333397).

The spelling of 79312000 in words is "seventy-nine million, three hundred twelve thousand".