800349 has 16 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 477360.

The previous prime is 800333. The next prime is 800351. The reversal of 800349 is 943008.

It is not a de Polignac number, because 800349 - 2⁴ = 800333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800329) 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 15 ways as a sum of consecutive naturals, for example, 2454 + ... + 2760.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

2⁸⁰⁰³⁴⁹ is an apocalyptic number.

It is an amenable number.

800349 is a deficient number, since it is larger than the sum of its proper divisors (382371).

800349 is a wasteful number, since it uses less digits than its factorization.

800349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 800349 is about 894.6222666578. The cubic root of 800349 is about 92.8452739972.

The spelling of 800349 in words is "eight hundred thousand, three hundred forty-nine".