800814 has 32 divisors (see below), whose sum is σ = 1912320. Its totient is φ = 218592.

The previous prime is 800801. The next prime is 800861. The reversal of 800814 is 418008.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

800814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (59760).

2⁸⁰⁰⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956160).

800814 is an abundant number, since it is smaller than the sum of its proper divisors (1111506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800814 is a wasteful number, since it uses less digits than its factorization.

800814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 800814 is about 894.8821151414. The cubic root of 800814 is about 92.8632514437.

The spelling of 800814 in words is "eight hundred thousand, eight hundred fourteen".