809891264 has 168 divisors, whose sum is σ = 2097267840. Its totient is φ = 302994432.

The previous prime is 809891233. The next prime is 809891267. The reversal of 809891264 is 462198908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809891267) 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 23 ways as a sum of consecutive naturals, for example, 1438247 + ... + 1438809.

Almost surely, 2^809891264 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 809891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048633920).

809891264 is an abundant number, since it is smaller than the sum of its proper divisors (1287376576).

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

809891264 is a wasteful number, since it uses less digits than its factorization.

809891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 809891264 is about 28458.5885806025. The cubic root of 809891264 is about 932.1280378166.

The spelling of 809891264 in words is "eight hundred nine million, eight hundred ninety-one thousand, two hundred sixty-four".