79107680 has 48 divisors (see below), whose sum is σ = 188289360. Its totient is φ = 31406592.

The previous prime is 79107673. The next prime is 79107701. The reversal of 79107680 is 8670197.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20462 + ... + 24018.

It is an arithmetic number, because the mean of its divisors is an integer number (3922695).

Almost surely, 2^79107680 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 79107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94144680).

79107680 is an abundant number, since it is smaller than the sum of its proper divisors (109181680).

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

79107680 is a wasteful number, since it uses less digits than its factorization.

79107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 79107680 is about 8894.2498278382. The cubic root of 79107680 is about 429.2789068085.

The spelling of 79107680 in words is "seventy-nine million, one hundred seven thousand, six hundred eighty".