800660 has 72 divisors (see below), whose sum is σ = 2106720. Its totient is φ = 254016.

The previous prime is 800659. The next prime is 800663. The reversal of 800660 is 66008.

800660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

800660 is a modest number, since divided by 660 gives 80 as remainder.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18599 + ... + 18641.

It is an arithmetic number, because the mean of its divisors is an integer number (29260).

2⁸⁰⁰⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053360).

800660 is an abundant number, since it is smaller than the sum of its proper divisors (1306060).

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

800660 is a wasteful number, since it uses less digits than its factorization.

800660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 800660 is about 894.7960661514. The cubic root of 800660 is about 92.8572983937.

Adding to 800660 its reverse (66008), we get a palindrome (866668).

The spelling of 800660 in words is "eight hundred thousand, six hundred sixty".