79563456 has 126 divisors (see below), whose sum is σ = 265381740. Its totient is φ = 22724352.

The previous prime is 79563439. The next prime is 79563521. The reversal of 79563456 is 65436597.

79563456 is a `hidden beast` number, since 7 + 9 + 5 + 634 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 26815 + ... + 29633.

Almost surely, 2^79563456 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 79563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132690870).

79563456 is an abundant number, since it is smaller than the sum of its proper divisors (185818284).

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

79563456 is a wasteful number, since it uses less digits than its factorization.

79563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2831 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 79563456 is about 8919.8349760520. The cubic root of 79563456 is about 430.1017534570.

The spelling of 79563456 in words is "seventy-nine million, five hundred sixty-three thousand, four hundred fifty-six".