806800 has 30 divisors (see below), whose sum is σ = 1939298. Its totient is φ = 322560.

The previous prime is 806791. The next prime is 806801. The reversal of 806800 is 8608.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 659344 = 384^2 + 812^2 .

It is not an unprimeable number, because it can be changed into a prime (806801) by changing a digit.

806800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 609 + ... + 1408.

2⁸⁰⁶⁸⁰⁰ is an apocalyptic number.

806800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806800 is an abundant number, since it is smaller than the sum of its proper divisors (1132498).

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

806800 is a wasteful number, since it uses less digits than its factorization.

806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2024 counting only the distinct ones).

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

The square root of 806800 is about 898.2204629154. The cubic root of 806800 is about 93.0940583060.

The spelling of 806800 in words is "eight hundred six thousand, eight hundred".