8002809 has 12 divisors (see below), whose sum is σ = 11589552. Its totient is φ = 5321400.

The previous prime is 8002793. The next prime is 8002823. The reversal of 8002809 is 9082008.

It is not a de Polignac number, because 8002809 - 2⁴ = 8002793 is a prime.

8002809 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8002829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3514 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (965796).

Almost surely, 2^8002809 is an apocalyptic number.

It is an amenable number.

8002809 is a deficient number, since it is larger than the sum of its proper divisors (3586743).

8002809 is a wasteful number, since it uses less digits than its factorization.

8002809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8002809 is about 2828.9236469018. The cubic root of 8002809 is about 200.0234055941.

The spelling of 8002809 in words is "eight million, two thousand, eight hundred nine".