9000800 has 36 divisors (see below), whose sum is σ = 21975156. Its totient is φ = 3600000.

The previous prime is 9000793. The next prime is 9000809. The reversal of 9000800 is 80009.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000809) 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, 4826 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (610421).

Almost surely, 2^9000800 is an apocalyptic number.

It is an amenable number.

9000800 is an abundant number, since it is smaller than the sum of its proper divisors (12974356).

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

9000800 is a wasteful number, since it uses less digits than its factorization.

9000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 9000800 is about 3000.1333303705. The cubic root of 9000800 is about 208.0145453339.

Adding to 9000800 its reverse (80009), we get a palindrome (9080809).

The spelling of 9000800 in words is "nine million, eight hundred", and thus it is an aban number.