806900 has 18 divisors (see below), whose sum is σ = 1751190. Its totient is φ = 322720.

The previous prime is 806893. The next prime is 806903. The reversal of 806900 is 9608.

It can be written as a sum of positive squares in 3 ways, for example, as 11236 + 795664 = 106^2 + 892^2 .

It is a super-2 number, since 2×806900² = 1302175220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806903) by changing a digit.

806900 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, 3935 + ... + 4134.

2⁸⁰⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

806900 is an abundant number, since it is smaller than the sum of its proper divisors (944290).

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

806900 is a wasteful number, since it uses less digits than its factorization.

806900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 806900 is about 898.2761268118. The cubic root of 806900 is about 93.0979043732.

The spelling of 806900 in words is "eight hundred six thousand, nine hundred".