792719794944 has 648 divisors, whose sum is σ = 2881176663456. Its totient is φ = 205185024000.

The previous prime is 792719794931. The next prime is 792719794957. The reversal of 792719794944 is 449497917297.

It is an interprime number because it is at equal distance from previous prime (792719794931) and next prime (792719794957).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 782546182 + ... + 782547194.

Almost surely, 2^792719794944 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 792719794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440588331728).

792719794944 is an abundant number, since it is smaller than the sum of its proper divisors (2088456868512).

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

792719794944 is a wasteful number, since it uses less digits than its factorization.

792719794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1437 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The spelling of 792719794944 in words is "seven hundred ninety-two billion, seven hundred nineteen million, seven hundred ninety-four thousand, nine hundred forty-four".