8000404 has 24 divisors (see below), whose sum is σ = 15339240. Its totient is φ = 3634176.

The previous prime is 8000401. The next prime is 8000407. The reversal of 8000404 is 4040008.

It is an interprime number because it is at equal distance from previous prime (8000401) and next prime (8000407).

It can be written as a sum of positive squares in 4 ways, for example, as 2250000 + 5750404 = 1500^2 + 2398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000401) 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 7 ways as a sum of consecutive naturals, for example, 57 + ... + 4000.

It is an arithmetic number, because the mean of its divisors is an integer number (639135).

Almost surely, 2^8000404 is an apocalyptic number.

It is an amenable number.

8000404 is a deficient number, since it is larger than the sum of its proper divisors (7338836).

8000404 is a wasteful number, since it uses less digits than its factorization.

8000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8000404 is about 2828.4985416295. The cubic root of 8000404 is about 200.0033666100.

The spelling of 8000404 in words is "eight million, four hundred four", and thus it is an aban number.