810085444 has 81 divisors (see below), whose sum is σ = 1756883583. Its totient is φ = 325832976.

The previous prime is 810085433. The next prime is 810085447. The reversal of 810085444 is 444580018.

The square root of 810085444 is 28462.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (810085447) 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 26 ways as a sum of consecutive naturals, for example, 7570839 + ... + 7570945.

Almost surely, 2^810085444 is an apocalyptic number.

810085444 is the 28462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810085444

810085444 is an abundant number, since it is smaller than the sum of its proper divisors (946798139).

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

810085444 is a wasteful number, since it uses less digits than its factorization.

810085444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The cubic root of 810085444 is about 932.2025277170.

The spelling of 810085444 in words is "eight hundred ten million, eighty-five thousand, four hundred forty-four".