796346496000 has 1584 divisors, whose sum is σ = 3279622666320. Its totient is φ = 185450496000.

The previous prime is 796346495909. The next prime is 796346496013. The reversal of 796346496000 is 694643697.

796346496000 is a `hidden beast` number, since 7 + 96 + 3 + 464 + 96 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57461842944 + 738884653056 = 239712^2 + 859584^2 .

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4042367902 + ... + 4042368098.

It is an arithmetic number, because the mean of its divisors is an integer number (2070468855).

Almost surely, 2^796346496000 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 796346496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639811333160).

796346496000 is an abundant number, since it is smaller than the sum of its proper divisors (2483276170320).

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

796346496000 is a wasteful number, since it uses less digits than its factorization.

796346496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 796346496000 in words is "seven hundred ninety-six billion, three hundred forty-six million, four hundred ninety-six thousand".