800344066544 has 40 divisors (see below), whose sum is σ = 1691751959040. Its totient is φ = 363767889600.

The previous prime is 800344066493. The next prime is 800344066547. The reversal of 800344066544 is 445660443008.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 800344066495 and 800344066504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800344066547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2561087 + ... + 2856545.

It is an arithmetic number, because the mean of its divisors is an integer number (42293798976).

Almost surely, 2^800344066544 is an apocalyptic number.

It is an amenable number.

800344066544 is an abundant number, since it is smaller than the sum of its proper divisors (891407892496).

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

800344066544 is a wasteful number, since it uses less digits than its factorization.

800344066544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310869 (or 310863 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 800344066544 in words is "eight hundred billion, three hundred forty-four million, sixty-six thousand, five hundred forty-four".