796716103680 has 720 divisors, whose sum is σ = 3322079921160. Its totient is φ = 182097248256.

The previous prime is 796716103621. The next prime is 796716103723. The reversal of 796716103680 is 86301617697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40632759 + ... + 40652361.

Almost surely, 2^796716103680 is an apocalyptic number.

796716103680 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 796716103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661039960580).

796716103680 is an abundant number, since it is smaller than the sum of its proper divisors (2525363817480).

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

796716103680 is a wasteful number, since it uses less digits than its factorization.

796716103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19656 (or 19620 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 796716103680 in words is "seven hundred ninety-six billion, seven hundred sixteen million, one hundred three thousand, six hundred eighty".