800444 has 12 divisors (see below), whose sum is σ = 1415904. Its totient is φ = 395904.

The previous prime is 800441. The next prime is 800447. The reversal of 800444 is 444008.

It is an interprime number because it is at equal distance from previous prime (800441) and next prime (800447).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 800444.

It is not an unprimeable number, because it can be changed into a prime (800441) 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 3 ways as a sum of consecutive naturals, for example, 644 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (117992).

2⁸⁰⁰⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

800444 is a deficient number, since it is larger than the sum of its proper divisors (615460).

800444 is a wasteful number, since it uses less digits than its factorization.

800444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 800444 is about 894.6753601167. The cubic root of 800444 is about 92.8489473748.

The spelling of 800444 in words is "eight hundred thousand, four hundred forty-four".