790927345152 has 640 divisors, whose sum is σ = 2828468966400. Its totient is φ = 213175369728.

The previous prime is 790927345151. The next prime is 790927345231. The reversal of 790927345152 is 251543729097.

790927345152 is a `hidden beast` number, since 7 + 9 + 0 + 92 + 7 + 34 + 515 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790927345151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509289208 + ... + 509290760.

It is an arithmetic number, because the mean of its divisors is an integer number (4419482760).

Almost surely, 2^790927345152 is an apocalyptic number.

790927345152 is a gapful number since it is divisible by the number (72) 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 790927345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414234483200).

790927345152 is an abundant number, since it is smaller than the sum of its proper divisors (2037541621248).

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

790927345152 is a wasteful number, since it uses less digits than its factorization.

790927345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 790927345152 in words is "seven hundred ninety billion, nine hundred twenty-seven million, three hundred forty-five thousand, one hundred fifty-two".