800109 has 12 divisors (see below), whose sum is σ = 1216800. Its totient is φ = 505224.

The previous prime is 800089. The next prime is 800113. The reversal of 800109 is 901008.

It is not a de Polignac number, because 800109 - 2⁵ = 800077 is a prime.

It is a Curzon number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 800091 and 800100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800119) 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 11 ways as a sum of consecutive naturals, for example, 2169 + ... + 2510.

It is an arithmetic number, because the mean of its divisors is an integer number (101400).

2⁸⁰⁰¹⁰⁹ is an apocalyptic number.

It is an amenable number.

800109 is a deficient number, since it is larger than the sum of its proper divisors (416691).

800109 is a wasteful number, since it uses less digits than its factorization.

800109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 800109 is about 894.4881217769. The cubic root of 800109 is about 92.8359925906.

It can be divided in two parts, 800 and 109, that added together give a palindrome (909).

The spelling of 800109 in words is "eight hundred thousand, one hundred nine".