810580416 has 56 divisors (see below), whose sum is σ = 2147041680. Its totient is φ = 269893632.

The previous prime is 810580387. The next prime is 810580427. The reversal of 810580416 is 614085018.

It is a super-2 number, since 2×810580416² = 1314081221605466112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 231930 + ... + 235398.

It is an arithmetic number, because the mean of its divisors is an integer number (38340030).

Almost surely, 2^810580416 is an apocalyptic number.

It is an amenable number.

810580416 is an abundant number, since it is smaller than the sum of its proper divisors (1336461264).

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

810580416 is a wasteful number, since it uses less digits than its factorization.

810580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 810580416 is about 28470.6939852193. The cubic root of 810580416 is about 932.3923513988.

The spelling of 810580416 in words is "eight hundred ten million, five hundred eighty thousand, four hundred sixteen".