790656612480 has 1024 divisors, whose sum is σ = 3485168640000. Its totient is φ = 165292130304.

The previous prime is 790656612469. The next prime is 790656612481. The reversal of 790656612480 is 84216656097.

790656612480 is a `hidden beast` number, since 7 + 90 + 6 + 5 + 66 + 12 + 480 = 666.

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 (790656612481) 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 127 ways as a sum of consecutive naturals, for example, 66643029 + ... + 66654891.

It is an arithmetic number, because the mean of its divisors is an integer number (3403485000).

Almost surely, 2^790656612480 is an apocalyptic number.

790656612480 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 790656612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742584320000).

790656612480 is an abundant number, since it is smaller than the sum of its proper divisors (2694512027520).

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

790656612480 is a wasteful number, since it uses less digits than its factorization.

790656612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 790656612480 in words is "seven hundred ninety billion, six hundred fifty-six million, six hundred twelve thousand, four hundred eighty".