8006809 has 8 divisors (see below), whose sum is σ = 8454240. Its totient is φ = 7562016.

The previous prime is 8006797. The next prime is 8006819. The reversal of 8006809 is 9086008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8006809 - 2¹⁵ = 7974041 is a prime.

8006809 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8006819) 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, 11382 + ... + 12064.

It is an arithmetic number, because the mean of its divisors is an integer number (1056780).

Almost surely, 2^8006809 is an apocalyptic number.

It is an amenable number.

8006809 is a deficient number, since it is larger than the sum of its proper divisors (447431).

8006809 is a wasteful number, since it uses less digits than its factorization.

8006809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 8006809 is about 2829.6305412545. The cubic root of 8006809 is about 200.0567255762.

The spelling of 8006809 in words is "eight million, six thousand, eight hundred nine".