802000208 has 20 divisors (see below), whose sum is σ = 1557350100. Its totient is φ = 400103424.

The previous prime is 802000207. The next prime is 802000217.

802000208 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 700555024 + 101445184 = 26468^2 + 10072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 802000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802000201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48635 + ... + 63002.

It is an arithmetic number, because the mean of its divisors is an integer number (77867505).

Almost surely, 2^802000208 is an apocalyptic number.

It is an amenable number.

802000208 is a deficient number, since it is larger than the sum of its proper divisors (755349892).

802000208 is a wasteful number, since it uses less digits than its factorization.

802000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112094 (or 112088 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 802000208 is about 28319.6081893800. The cubic root of 802000208 is about 929.0908014106.

It can be divided in two parts, 802000 and 208, that added together give a palindrome (802208).

The spelling of 802000208 in words is "eight hundred two million, two hundred eight", and thus it is an aban number.