791279641320 has 256 divisors, whose sum is σ = 2807897702400. Its totient is φ = 174565601280.

The previous prime is 791279641297. The next prime is 791279641349. The reversal of 791279641320 is 23146972197.

It is a happy number.

791279641320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×791279641320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9829072 + ... + 9909248.

It is an arithmetic number, because the mean of its divisors is an integer number (10968350400).

Almost surely, 2^791279641320 is an apocalyptic number.

791279641320 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 791279641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403948851200).

791279641320 is an abundant number, since it is smaller than the sum of its proper divisors (2016618061080).

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

791279641320 is a wasteful number, since it uses less digits than its factorization.

791279641320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80608 (or 80604 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 791279641320 in words is "seven hundred ninety-one billion, two hundred seventy-nine million, six hundred forty-one thousand, three hundred twenty".