802808006 has 64 divisors (see below), whose sum is σ = 1622799360. Its totient is φ = 287660160.

The previous prime is 802807997. The next prime is 802808009. The reversal of 802808006 is 600808208.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802808009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718160 + ... + 719276.

It is an arithmetic number, because the mean of its divisors is an integer number (25356240).

Almost surely, 2^802808006 is an apocalyptic number.

802808006 is an abundant number, since it is smaller than the sum of its proper divisors (819991354).

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

802808006 is a wasteful number, since it uses less digits than its factorization.

802808006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509.

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 802808006 is about 28333.8667675275. The cubic root of 802808006 is about 929.4026325230.

It can be divided in two parts, 802 and 808006, that added together give a palindrome (808808).

The spelling of 802808006 in words is "eight hundred two million, eight hundred eight thousand, six".