793118416860 has 1728 divisors, whose sum is σ = 3335426519040. Its totient is φ = 155675520000.

The previous prime is 793118416807. The next prime is 793118416861. The reversal of 793118416860 is 68614811397.

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

It is a junction number, because it is equal to n+sod(n) for n = 793118416797 and 793118416806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793118416861) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6054338995 + ... + 6054339125.

It is an arithmetic number, because the mean of its divisors is an integer number (1930223680).

Almost surely, 2^793118416860 is an apocalyptic number.

793118416860 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 793118416860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667713259520).

793118416860 is an abundant number, since it is smaller than the sum of its proper divisors (2542308102180).

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

793118416860 is a wasteful number, since it uses less digits than its factorization.

793118416860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 793118416860 in words is "seven hundred ninety-three billion, one hundred eighteen million, four hundred sixteen thousand, eight hundred sixty".