800909 has 2 divisors, whose sum is σ = 800910. Its totient is φ = 800908.

The previous prime is 800903. The next prime is 800923. The reversal of 800909 is 909008.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 697225 + 103684 = 835^2 + 322^2 .

It is a cyclic number.

It is not a de Polignac number, because 800909 - 2¹² = 796813 is a prime.

It is a Chen prime.

800909 is a modest number, since divided by 909 gives 80 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400454 + 400455.

It is an arithmetic number, because the mean of its divisors is an integer number (400455).

2⁸⁰⁰⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

800909 is a deficient number, since it is larger than the sum of its proper divisors (1).

800909 is an equidigital number, since it uses as much as digits as its factorization.

800909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 800909 is about 894.9351931844. The cubic root of 800909 is about 92.8669233992.

The spelling of 800909 in words is "eight hundred thousand, nine hundred nine".