796833413376 has 1152 divisors, whose sum is σ = 3174590361600. Its totient is φ = 170293985280.

The previous prime is 796833413371. The next prime is 796833413381. The reversal of 796833413376 is 673314338697.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (796833413371) and next prime (796833413381).

It is not an unprimeable number, because it can be changed into a prime (796833413371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248310460 + ... + 248313668.

It is an arithmetic number, because the mean of its divisors is an integer number (2755720800).

Almost surely, 2^796833413376 is an apocalyptic number.

796833413376 is a gapful number since it is divisible by the number (76) 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 796833413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587295180800).

796833413376 is an abundant number, since it is smaller than the sum of its proper divisors (2377756948224).

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

796833413376 is a wasteful number, since it uses less digits than its factorization.

796833413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3281 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 60.

The spelling of 796833413376 in words is "seven hundred ninety-six billion, eight hundred thirty-three million, four hundred thirteen thousand, three hundred seventy-six".