79456000 has 144 divisors (see below), whose sum is σ = 214276608. Its totient is φ = 29184000.

The previous prime is 79455947. The next prime is 79456001. The reversal of 79456000 is 65497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79456001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 415905 + ... + 416095.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^79456000 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 79456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

79456000 is an abundant number, since it is smaller than the sum of its proper divisors (134820608).

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

79456000 is a wasteful number, since it uses less digits than its factorization.

79456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 79456000 is about 8913.8095110901. The cubic root of 79456000 is about 429.9080387442.

The spelling of 79456000 in words is "seventy-nine million, four hundred fifty-six thousand".