79567488 has 512 divisors, whose sum is σ = 329011200. Its totient is φ = 18247680.

The previous prime is 79567441. The next prime is 79567489. The reversal of 79567488 is 88476597.

79567488 is a `hidden beast` number, since 79 + 567 + 4 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79567489) 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 63 ways as a sum of consecutive naturals, for example, 3459445 + ... + 3459467.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^79567488 is an apocalyptic number.

79567488 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 79567488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

79567488 is an abundant number, since it is smaller than the sum of its proper divisors (249443712).

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

79567488 is a wasteful number, since it uses less digits than its factorization.

79567488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 79567488 is about 8920.0609863386. The cubic root of 79567488 is about 430.1090186893.

The spelling of 79567488 in words is "seventy-nine million, five hundred sixty-seven thousand, four hundred eighty-eight".