79985664 has 176 divisors, whose sum is σ = 259395840. Its totient is φ = 24145920.

The previous prime is 79985641. The next prime is 79985671. The reversal of 79985664 is 46658997.

79985664 is a `hidden beast` number, since 79 + 9 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a self number, because there is not a number n which added to its sum of digits gives 79985664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303997 + ... + 304259.

It is an arithmetic number, because the mean of its divisors is an integer number (1473840).

Almost surely, 2^79985664 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 79985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129697920).

79985664 is an abundant number, since it is smaller than the sum of its proper divisors (179410176).

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

79985664 is a wasteful number, since it uses less digits than its factorization.

79985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 79985664 is about 8943.4704673298. The cubic root of 79985664 is about 430.8611981557.

The spelling of 79985664 in words is "seventy-nine million, nine hundred eighty-five thousand, six hundred sixty-four".