802009 has 16 divisors (see below), whose sum is σ = 967680. Its totient is φ = 656640.

The previous prime is 802007. The next prime is 802019. The reversal of 802009 is 900208.

It is not a de Polignac number, because 802009 - 2¹ = 802007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (802007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4104 + ... + 4294.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2⁸⁰²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

802009 is a deficient number, since it is larger than the sum of its proper divisors (165671).

802009 is a wasteful number, since it uses less digits than its factorization.

802009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 802009 is about 895.5495519512. The cubic root of 802009 is about 92.9094196479.

The spelling of 802009 in words is "eight hundred two thousand, nine".