79759680 has 448 divisors, whose sum is σ = 344107008. Its totient is φ = 15114240.

The previous prime is 79759643. The next prime is 79759697. The reversal of 79759680 is 8695797.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960919 + ... + 961001.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 2^79759680 is an apocalyptic number.

79759680 is a gapful number since it is divisible by the number (70) 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 79759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

79759680 is an abundant number, since it is smaller than the sum of its proper divisors (264347328).

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

79759680 is a wasteful number, since it uses less digits than its factorization.

79759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 79759680 is about 8930.8275092513. The cubic root of 79759680 is about 430.4550437932.

The spelling of 79759680 in words is "seventy-nine million, seven hundred fifty-nine thousand, six hundred eighty".