813336768 has 112 divisors (see below), whose sum is σ = 2398593120. Its totient is φ = 270259200.

The previous prime is 813336709. The next prime is 813336791. The reversal of 813336768 is 867633318.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796098 + ... + 797118.

It is an arithmetic number, because the mean of its divisors is an integer number (21416010).

Almost surely, 2^813336768 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 813336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199296560).

813336768 is an abundant number, since it is smaller than the sum of its proper divisors (1585256352).

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

813336768 is a wasteful number, since it uses less digits than its factorization.

813336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1487 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 813336768 is about 28519.0597320459. The cubic root of 813336768 is about 933.4480122127.

The spelling of 813336768 in words is "eight hundred thirteen million, three hundred thirty-six thousand, seven hundred sixty-eight".