800680 has 32 divisors (see below), whose sum is σ = 1853640. Its totient is φ = 311040.

The previous prime is 800677. The next prime is 800687. The reversal of 800680 is 86008.

800680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 64516 = 858^2 + 254^2 .

It is not an unprimeable number, because it can be changed into a prime (800687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 1750.

2⁸⁰⁰⁶⁸⁰ 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 800680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926820).

800680 is an abundant number, since it is smaller than the sum of its proper divisors (1052960).

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

800680 is a wasteful number, since it uses less digits than its factorization.

800680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 800680 is about 894.8072418124. The cubic root of 800680 is about 92.8580715602.

Adding to 800680 its reverse (86008), we get a palindrome (886688).

The spelling of 800680 in words is "eight hundred thousand, six hundred eighty".