790070797152 has 768 divisors, whose sum is σ = 2993324544000. Its totient is φ = 197031149568.

The previous prime is 790070797151. The next prime is 790070797181. The reversal of 790070797152 is 251797070097.

It is a super-2 number, since 2×790070797152² (a number of 25 digits) contains 22 as substring.

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 (790070797151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160940874 + ... + 160945782.

It is an arithmetic number, because the mean of its divisors is an integer number (3897558000).

Almost surely, 2^790070797152 is an apocalyptic number.

790070797152 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 790070797152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496662272000).

790070797152 is an abundant number, since it is smaller than the sum of its proper divisors (2203253746848).

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

790070797152 is a wasteful number, since it uses less digits than its factorization.

790070797152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 1944810, while the sum is 54.

The spelling of 790070797152 in words is "seven hundred ninety billion, seventy million, seven hundred ninety-seven thousand, one hundred fifty-two".