800224 has 24 divisors (see below), whose sum is σ = 1669248. Its totient is φ = 376320.

The previous prime is 800221. The next prime is 800231. The reversal of 800224 is 422008.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 800198 and 800207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (69552).

2⁸⁰⁰²²⁴ is an apocalyptic number.

It is an amenable number.

800224 is an abundant number, since it is smaller than the sum of its proper divisors (869024).

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

800224 is a wasteful number, since it uses less digits than its factorization.

800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 800224 is about 894.5524020425. The cubic root of 800224 is about 92.8404401629.

It can be divided in two parts, 800 and 224, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 800224 in words is "eight hundred thousand, two hundred twenty-four".