800338 has 16 divisors (see below), whose sum is σ = 1497024. Its totient is φ = 311760.

The previous prime is 800333. The next prime is 800351. The reversal of 800338 is 833008.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (800333) 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, 2445 + ... + 2752.

It is an arithmetic number, because the mean of its divisors is an integer number (93564).

2⁸⁰⁰³³⁸ is an apocalyptic number.

800338 is a deficient number, since it is larger than the sum of its proper divisors (696686).

800338 is a wasteful number, since it uses less digits than its factorization.

800338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 800338 is about 894.6161187906. The cubic root of 800338 is about 92.8448486400.

It can be divided in two parts, 800 and 338, that multiplied together give a square (270400 = 520²).

The spelling of 800338 in words is "eight hundred thousand, three hundred thirty-eight".