813344576 has 84 divisors (see below), whose sum is σ = 1790175744. Its totient is φ = 366347520.

The previous prime is 813344573. The next prime is 813344599. The reversal of 813344576 is 675443318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813344573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 983075 + ... + 983901.

It is an arithmetic number, because the mean of its divisors is an integer number (21311616).

Almost surely, 2^813344576 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 813344576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895087872).

813344576 is an abundant number, since it is smaller than the sum of its proper divisors (976831168).

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

813344576 is a wasteful number, since it uses less digits than its factorization.

813344576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 967 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 813344576 is about 28519.1966226260. The cubic root of 813344576 is about 933.4509992241.

The spelling of 813344576 in words is "eight hundred thirteen million, three hundred forty-four thousand, five hundred seventy-six".