796802117040 has 320 divisors, whose sum is σ = 2768702256000. Its totient is φ = 210616713216.

The previous prime is 796802117029. The next prime is 796802117047. The reversal of 796802117040 is 40711208697.

It is a happy number.

796802117040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×796802117040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (796802117047) 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, 152262264 + ... + 152267496.

It is an arithmetic number, because the mean of its divisors is an integer number (8652194550).

Almost surely, 2^796802117040 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 796802117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384351128000).

796802117040 is an abundant number, since it is smaller than the sum of its proper divisors (1971900138960).

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

796802117040 is a wasteful number, since it uses less digits than its factorization.

796802117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 796802117040 in words is "seven hundred ninety-six billion, eight hundred two million, one hundred seventeen thousand, forty".