792281088000 has 864 divisors, whose sum is σ = 2977105622400. Its totient is φ = 210213273600.

The previous prime is 792281087999. The next prime is 792281088017. The reversal of 792281088000 is 880182297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981311901 + ... + 3981312099.

It is an arithmetic number, because the mean of its divisors is an integer number (3445724100).

Almost surely, 2^792281088000 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 792281088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488552811200).

792281088000 is an abundant number, since it is smaller than the sum of its proper divisors (2184824534400).

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

792281088000 is an frugal number, since it uses more digits than its factorization.

792281088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 792281088000 in words is "seven hundred ninety-two billion, two hundred eighty-one million, eighty-eight thousand".