792916992 has 352 divisors, whose sum is σ = 2853354240. Its totient is φ = 212336640.

The previous prime is 792916991. The next prime is 792916997. The reversal of 792916992 is 299619297.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792916991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289992 + ... + 3290232.

It is an arithmetic number, because the mean of its divisors is an integer number (8106120).

Almost surely, 2^792916992 is an apocalyptic number.

792916992 is a gapful number since it is divisible by the number (72) 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 792916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426677120).

792916992 is an abundant number, since it is smaller than the sum of its proper divisors (2060437248).

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

792916992 is a wasteful number, since it uses less digits than its factorization.

792916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 270 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The square root of 792916992 is about 28158.7817918318. The cubic root of 792916992 is about 925.5699402606.

The spelling of 792916992 in words is "seven hundred ninety-two million, nine hundred sixteen thousand, nine hundred ninety-two".