800844404444 has 36 divisors (see below), whose sum is σ = 1630344585744. Its totient is φ = 343207622016.

The previous prime is 800844404441. The next prime is 800844404449. The reversal of 800844404444 is 444404448008.

It is a junction number, because it is equal to n+sod(n) for n = 800844404395 and 800844404404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800844404441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8771252 + ... + 8862084.

It is an arithmetic number, because the mean of its divisors is an integer number (45287349604).

Almost surely, 2^800844404444 is an apocalyptic number.

It is an amenable number.

800844404444 is an abundant number, since it is smaller than the sum of its proper divisors (829500181300).

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

800844404444 is a wasteful number, since it uses less digits than its factorization.

800844404444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135834 (or 135825 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 800844404444 in words is "eight hundred billion, eight hundred forty-four million, four hundred four thousand, four hundred forty-four".