800813 has 8 divisors (see below), whose sum is σ = 869400. Its totient is φ = 733248.

The previous prime is 800801. The next prime is 800861. The reversal of 800813 is 318008.

It can be written as a sum of positive squares in 4 ways, for example, as 29929 + 770884 = 173^2 + 878^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 800813 - 2⁸ = 800557 is a prime.

It is a Duffinian number.

800813 is a modest number, since divided by 813 gives 8 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800873) 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, 2843 + ... + 3111.

It is an arithmetic number, because the mean of its divisors is an integer number (108675).

2⁸⁰⁰⁸¹³ is an apocalyptic number.

It is an amenable number.

800813 is a deficient number, since it is larger than the sum of its proper divisors (68587).

800813 is a wasteful number, since it uses less digits than its factorization.

800813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 800813 is about 894.8815564084. The cubic root of 800813 is about 92.8632127900.

The spelling of 800813 in words is "eight hundred thousand, eight hundred thirteen".