18000800 has 36 divisors (see below), whose sum is σ = 43946406. Its totient is φ = 7200000.

The previous prime is 18000797. The next prime is 18000803. The reversal of 18000800 is 800081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18000797) and next prime (18000803).

It can be written as a sum of positive squares in 3 ways, for example, as 17606416 + 394384 = 4196^2 + 628^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18000803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10451 + ... + 12050.

Almost surely, 2^18000800 is an apocalyptic number.

18000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18000800 is an abundant number, since it is smaller than the sum of its proper divisors (25945606).

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

18000800 is a wasteful number, since it uses less digits than its factorization.

18000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22521 (or 22508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 18000800 is about 4242.7349669759. The cubic root of 18000800 is about 262.0780219432.

Adding to 18000800 its reverse (800081), we get a palindrome (18800881).

The spelling of 18000800 in words is "eighteen million, eight hundred", and thus it is an aban number.