792855249016320 has 1920 divisors, whose sum is σ = 3329758424678400. Its totient is φ = 174090617487360.

The previous prime is 792855249016279. The next prime is 792855249016373. The reversal of 792855249016320 is 23610942558297.

792855249016320 is a `hidden beast` number, since 7 + 9 + 2 + 8 + 5 + 524 + 90 + 16 + 3 + 2 + 0 = 666.

792855249016320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33562840029 + ... + 33562863651.

It is an arithmetic number, because the mean of its divisors is an integer number (1734249179520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅792855249016320 = 1585710498032640, but 3⋅792855249016320 = 2378565747048960 is not.

Almost surely, 2^{792855249016320} is an apocalyptic number.

792855249016320 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 792855249016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664879212339200).

792855249016320 is an abundant number, since it is smaller than the sum of its proper divisors (2536903175662080).

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

792855249016320 is a wasteful number, since it uses less digits than its factorization.

792855249016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23841 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 792855249016320 in words is "seven hundred ninety-two trillion, eight hundred fifty-five billion, two hundred forty-nine million, sixteen thousand, three hundred twenty".