800424 has 24 divisors (see below), whose sum is σ = 2168010. Its totient is φ = 266784.

The previous prime is 800419. The next prime is 800441. The reversal of 800424 is 424008.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 22500 = 882^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 800397 and 800406.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5487 + ... + 5630.

2⁸⁰⁰⁴²⁴ is an apocalyptic number.

It is an amenable number.

800424 is an abundant number, since it is smaller than the sum of its proper divisors (1367586).

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

800424 is a wasteful number, since it uses less digits than its factorization.

800424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 800424 is about 894.6641828083. The cubic root of 800424 is about 92.8481740563.

The spelling of 800424 in words is "eight hundred thousand, four hundred twenty-four".