792882720 has 432 divisors, whose sum is σ = 3337647768. Its totient is φ = 170311680.

The previous prime is 792882709. The next prime is 792882721. The reversal of 792882720 is 27288297.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 773062416 + 19820304 = 27804^2 + 4452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (792882721) by changing a digit.

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, 1199190 + ... + 1199850.

Almost surely, 2^792882720 is an apocalyptic number.

792882720 is a gapful number since it is divisible by the number (70) 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 792882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668823884).

792882720 is an abundant number, since it is smaller than the sum of its proper divisors (2544765048).

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

792882720 is a wasteful number, since it uses less digits than its factorization.

792882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 792882720 is about 28158.1732362027. The cubic root of 792882720 is about 925.5566048630.

The spelling of 792882720 in words is "seven hundred ninety-two million, eight hundred eighty-two thousand, seven hundred twenty".