79517568 has 128 divisors (see below), whose sum is σ = 241103520. Its totient is φ = 23003136.

The previous prime is 79517539. The next prime is 79517579. The reversal of 79517568 is 86571597.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84396 + ... + 85332.

Almost surely, 2^79517568 is an apocalyptic number.

79517568 is a gapful number since it is divisible by the number (78) 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 79517568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120551760).

79517568 is an abundant number, since it is smaller than the sum of its proper divisors (161585952).

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

79517568 is a wasteful number, since it uses less digits than its factorization.

79517568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its digits is 529200, while the sum is 48.

The square root of 79517568 is about 8917.2623601641. The cubic root of 79517568 is about 430.0190508956.

The spelling of 79517568 in words is "seventy-nine million, five hundred seventeen thousand, five hundred sixty-eight".