809513344 has 64 divisors (see below), whose sum is σ = 1713171600. Its totient is φ = 379699200.

The previous prime is 809513317. The next prime is 809513347. The reversal of 809513344 is 443315908.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×809513344² = 1310623708228124672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809513347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1307467 + ... + 1308085.

Almost surely, 2^809513344 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 809513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856585800).

809513344 is an abundant number, since it is smaller than the sum of its proper divisors (903658256).

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

809513344 is a wasteful number, since it uses less digits than its factorization.

809513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 809513344 is about 28451.9479825196. The cubic root of 809513344 is about 931.9830287883.

The spelling of 809513344 in words is "eight hundred nine million, five hundred thirteen thousand, three hundred forty-four".