800505 has 12 divisors (see below), whose sum is σ = 1387620. Its totient is φ = 426912.

The previous prime is 800497. The next prime is 800509. The reversal of 800505 is 505008.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 210681 = 768^2 + 459^2 .

It is not a de Polignac number, because 800505 - 2³ = 800497 is a prime.

800505 is a modest number, since divided by 505 gives 80 as remainder.

It is not an unprimeable number, because it can be changed into a prime (800509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8850 + ... + 8939.

It is an arithmetic number, because the mean of its divisors is an integer number (115635).

2⁸⁰⁰⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

800505 is a deficient number, since it is larger than the sum of its proper divisors (587115).

800505 is a wasteful number, since it uses less digits than its factorization.

800505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17800 (or 17797 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 800505 is about 894.7094500451. The cubic root of 800505 is about 92.8513059166.

The spelling of 800505 in words is "eight hundred thousand, five hundred five".