800009 has 8 divisors (see below), whose sum is σ = 954240. Its totient is φ = 655776.

The previous prime is 799999. The next prime is 800011. The reversal of 800009 is 900008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 800009 - 2⁴ = 799993 is a prime.

800009 is a modest number, since divided by 9 gives 8 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 800009.

It is not an unprimeable number, because it can be changed into a prime (800029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2324 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (119280).

2⁸⁰⁰⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

800009 is a deficient number, since it is larger than the sum of its proper divisors (154231).

800009 is a wasteful number, since it uses less digits than its factorization.

800009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 800009 is about 894.4322221387. The cubic root of 800009 is about 92.8321247901.

Subtracting 800009 from its reverse (900008), we obtain a palindrome (99999).

The spelling of 800009 in words is "eight hundred thousand, nine".