808100408205 has 24 divisors (see below), whose sum is σ = 1406157617592. Its totient is φ = 429309886464.

The previous prime is 808100408191. The next prime is 808100408209. The reversal of 808100408205 is 502804001808.

808100408205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 328886192196 + 479214216009 = 573486^2 + 692253^2 .

It is not a de Polignac number, because 808100408205 - 2¹⁵ = 808100375437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 808100408205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808100408209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34925764 + ... + 34948893.

It is an arithmetic number, because the mean of its divisors is an integer number (58589900733).

Almost surely, 2^808100408205 is an apocalyptic number.

It is an amenable number.

808100408205 is a deficient number, since it is larger than the sum of its proper divisors (598057209387).

808100408205 is a wasteful number, since it uses less digits than its factorization.

808100408205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69874925 (or 69874922 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 808100408205 in words is "eight hundred eight billion, one hundred million, four hundred eight thousand, two hundred five".