792996480 has 192 divisors, whose sum is σ = 2840292000. Its totient is φ = 211424256.

The previous prime is 792996443. The next prime is 792996487. The reversal of 792996480 is 84699297.

792996480 is a `hidden beast` number, since 79 + 2 + 9 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (792996487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152971 + ... + 158069.

Almost surely, 2^792996480 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 792996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420146000).

792996480 is an abundant number, since it is smaller than the sum of its proper divisors (2047295520).

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

792996480 is an equidigital number, since it uses as much as digits as its factorization.

792996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 792996480 is about 28160.1931811556. The cubic root of 792996480 is about 925.6008679389.

The spelling of 792996480 in words is "seven hundred ninety-two million, nine hundred ninety-six thousand, four hundred eighty".