79968096 has 216 divisors, whose sum is σ = 258987456. Its totient is φ = 23362560.

The previous prime is 79968059. The next prime is 79968113. The reversal of 79968096 is 69086997.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1508806 + ... + 1508858.

It is an arithmetic number, because the mean of its divisors is an integer number (1199016).

Almost surely, 2^79968096 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 79968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493728).

79968096 is an abundant number, since it is smaller than the sum of its proper divisors (179019360).

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

79968096 is a wasteful number, since it uses less digits than its factorization.

79968096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 79968096 is about 8942.4882443311. The cubic root of 79968096 is about 430.8296511534.

The spelling of 79968096 in words is "seventy-nine million, nine hundred sixty-eight thousand, ninety-six".