792944640 has 280 divisors, whose sum is σ = 2854573920. Its totient is φ = 210567168.

The previous prime is 792944611. The next prime is 792944641. The reversal of 792944640 is 46449297.

It is a super-2 number, since 2×792944640² = 1257522404209459200, which contains 22 as substring.

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

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792944641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317641 + ... + 3317879.

Almost surely, 2^792944640 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 792944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427286960).

792944640 is an abundant number, since it is smaller than the sum of its proper divisors (2061629280).

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

792944640 is an equidigital number, since it uses as much as digits as its factorization.

792944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 792944640 is about 28159.2727178810. The cubic root of 792944640 is about 925.5806979483.

The spelling of 792944640 in words is "seven hundred ninety-two million, nine hundred forty-four thousand, six hundred forty".