792330240 has 288 divisors, whose sum is σ = 2818561536. Its totient is φ = 188743680.

The previous prime is 792330233. The next prime is 792330311. The reversal of 792330240 is 42033297.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 792330198 and 792330207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25559025 + ... + 25559055.

It is an arithmetic number, because the mean of its divisors is an integer number (9786672).

Almost surely, 2^792330240 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 792330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409280768).

792330240 is an abundant number, since it is smaller than the sum of its proper divisors (2026231296).

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

792330240 is an equidigital number, since it uses as much as digits as its factorization.

792330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 792330240 is about 28148.3612311623. The cubic root of 792330240 is about 925.3415792289.

The spelling of 792330240 in words is "seven hundred ninety-two million, three hundred thirty thousand, two hundred forty".