79716 has 48 divisors (see below), whose sum is σ = 232064. Its totient is φ = 20736.

The previous prime is 79699. The next prime is 79757. The reversal of 79716 is 61797.

79716 is an undulating number in base 9.

Its product of digits (2646) is a multiple of the sum of its prime divisors (98).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 79716.

It is an unprimeable number.

79716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056 + ... + 1128.

2⁷⁹⁷¹⁶ 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 79716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116032).

79716 is an abundant number, since it is smaller than the sum of its proper divisors (152348).

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

79716 is a wasteful number, since it uses less digits than its factorization.

79716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its digits is 2646, while the sum is 30.

The square root of 79716 is about 282.3402203017. The cubic root of 79716 is about 43.0376450576.

The spelling of 79716 in words is "seventy-nine thousand, seven hundred sixteen".