800605 has 16 divisors (see below), whose sum is σ = 1053360. Its totient is φ = 580608.

The previous prime is 800599. The next prime is 800621. The reversal of 800605 is 506008.

It can be written as a sum of positive squares in 8 ways, for example, as 178084 + 622521 = 422^2 + 789^2 .

It is a 5-Lehmer number, since φ(800605) divides (800605-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 800605 - 2⁵ = 800573 is a prime.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7029 + ... + 7141.

It is an arithmetic number, because the mean of its divisors is an integer number (65835).

It is a Poulet number, since it divides 2⁸⁰⁰⁶⁰⁴-1.

2⁸⁰⁰⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

800605 is a deficient number, since it is larger than the sum of its proper divisors (252755).

800605 is a wasteful number, since it uses less digits than its factorization.

800605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 800605 is about 894.7653323637. The cubic root of 800605 is about 92.8551721193.

The spelling of 800605 in words is "eight hundred thousand, six hundred five".