811442104 has 64 divisors (see below), whose sum is σ = 1696464000. Its totient is φ = 360750720.

The previous prime is 811442089. The next prime is 811442117. The reversal of 811442104 is 401244118.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936407 + ... + 1936825.

It is an arithmetic number, because the mean of its divisors is an integer number (26507250).

Almost surely, 2^811442104 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 811442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848232000).

811442104 is an abundant number, since it is smaller than the sum of its proper divisors (885021896).

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

811442104 is a wasteful number, since it uses less digits than its factorization.

811442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 811442104 is about 28485.8228598017. The cubic root of 811442104 is about 932.7226278101.

The spelling of 811442104 in words is "eight hundred eleven million, four hundred forty-two thousand, one hundred four".