813004344 has 64 divisors (see below), whose sum is σ = 2265062400. Its totient is φ = 270195552.

The previous prime is 813004321. The next prime is 813004369. The reversal of 813004344 is 443400318.

813004344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69529 + ... + 80375.

It is an arithmetic number, because the mean of its divisors is an integer number (35391600).

Almost surely, 2^813004344 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 813004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132531200).

813004344 is an abundant number, since it is smaller than the sum of its proper divisors (1452058056).

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

813004344 is a wasteful number, since it uses less digits than its factorization.

813004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11199 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 813004344 is about 28513.2310340305. The cubic root of 813004344 is about 933.3208230749.

The spelling of 813004344 in words is "eight hundred thirteen million, four thousand, three hundred forty-four".