790416883256 has 192 divisors, whose sum is σ = 2007148113600. Its totient is φ = 283952148480.

The previous prime is 790416883213. The next prime is 790416883259. The reversal of 790416883256 is 652388614097.

It is a super-2 number, since 2×790416883256² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 790416883195 and 790416883204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790416883259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88876346 + ... + 88885238.

It is an arithmetic number, because the mean of its divisors is an integer number (10453896425).

It is a 1-persistent number, because it is pandigital, but 2⋅790416883256 = 1580833766512 is not.

Almost surely, 2^790416883256 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 790416883256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003574056800).

790416883256 is an abundant number, since it is smaller than the sum of its proper divisors (1216731230344).

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

790416883256 is a wasteful number, since it uses less digits than its factorization.

790416883256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 790416883256 in words is "seven hundred ninety billion, four hundred sixteen million, eight hundred eighty-three thousand, two hundred fifty-six".