790746827520 has 576 divisors, whose sum is σ = 2869163781120. Its totient is φ = 183995006976.

The previous prime is 790746827503. The next prime is 790746827537. The reversal of 790746827520 is 25728647097.

It is an interprime number because it is at equal distance from previous prime (790746827503) and next prime (790746827537).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 780598534 + ... + 780599546.

It is an arithmetic number, because the mean of its divisors is an integer number (4981187120).

Almost surely, 2^790746827520 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 790746827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434581890560).

790746827520 is an abundant number, since it is smaller than the sum of its proper divisors (2078416953600).

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

790746827520 is a wasteful number, since it uses less digits than its factorization.

790746827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 790746827520 in words is "seven hundred ninety billion, seven hundred forty-six million, eight hundred twenty-seven thousand, five hundred twenty".