79567080 has 128 divisors (see below), whose sum is σ = 250629120. Its totient is φ = 20183040.

The previous prime is 79567067. The next prime is 79567087. The reversal of 79567080 is 8076597.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (79567087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 271414 + ... + 271706.

It is an arithmetic number, because the mean of its divisors is an integer number (1958040).

Almost surely, 2^79567080 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 79567080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

79567080 is an abundant number, since it is smaller than the sum of its proper divisors (171062040).

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

79567080 is a wasteful number, since it uses less digits than its factorization.

79567080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 79567080 is about 8920.0381165105. The cubic root of 79567080 is about 430.1082835281.

The spelling of 79567080 in words is "seventy-nine million, five hundred sixty-seven thousand, eighty".