810843264 has 384 divisors, whose sum is σ = 3017078400. Its totient is φ = 209848320.

The previous prime is 810843247. The next prime is 810843269. The reversal of 810843264 is 462348018.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (810843269) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2927094 + ... + 2927370.

It is an arithmetic number, because the mean of its divisors is an integer number (7856975).

Almost surely, 2^810843264 is an apocalyptic number.

810843264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508539200).

810843264 is an abundant number, since it is smaller than the sum of its proper divisors (2206235136).

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

810843264 is a wasteful number, since it uses less digits than its factorization.

810843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 810843264 is about 28475.3097261470. The cubic root of 810843264 is about 932.4931232138.

It can be divided in two parts, 81084 and 3264, that added together give a palindrome (84348).

The spelling of 810843264 in words is "eight hundred ten million, eight hundred forty-three thousand, two hundred sixty-four".