792672480 has 240 divisors, whose sum is σ = 2889177984. Its totient is φ = 204456960.

The previous prime is 792672451. The next prime is 792672487. The reversal of 792672480 is 84276297.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792672487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400774 + ... + 402746.

Almost surely, 2^792672480 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 792672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444588992).

792672480 is an abundant number, since it is smaller than the sum of its proper divisors (2096505504).

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

792672480 is a wasteful number, since it uses less digits than its factorization.

792672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 792672480 is about 28154.4397919760. The cubic root of 792672480 is about 925.4747910725.

The spelling of 792672480 in words is "seven hundred ninety-two million, six hundred seventy-two thousand, four hundred eighty".