79456464 has 100 divisors (see below), whose sum is σ = 236328004. Its totient is φ = 25754112.

The previous prime is 79456463. The next prime is 79456471. The reversal of 79456464 is 46465497.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 29160000 = 7092^2 + 5400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79456463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47124 + ... + 48780.

Almost surely, 2^79456464 is an apocalyptic number.

79456464 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118164002).

79456464 is an abundant number, since it is smaller than the sum of its proper divisors (156871540).

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

79456464 is a wasteful number, since it uses less digits than its factorization.

79456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1699 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 79456464 is about 8913.8355380835. The cubic root of 79456464 is about 429.9088755887.

The spelling of 79456464 in words is "seventy-nine million, four hundred fifty-six thousand, four hundred sixty-four".