10080800 has 36 divisors (see below), whose sum is σ = 24611706. Its totient is φ = 4032000.

The previous prime is 10080787. The next prime is 10080803. The reversal of 10080800 is 808001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6739216 + 3341584 = 2596^2 + 1828^2 .

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 (10080803) 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, 5501 + ... + 7100.

Almost surely, 2^10080800 is an apocalyptic number.

10080800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10080800 is an abundant number, since it is smaller than the sum of its proper divisors (14530906).

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

10080800 is a wasteful number, since it uses less digits than its factorization.

10080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12608 counting only the distinct ones).

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

The square root of 10080800 is about 3175.0275589355. The cubic root of 10080800 is about 216.0221742210.

Adding to 10080800 its reverse (808001), we get a palindrome (10888801).

The spelling of 10080800 in words is "ten million, eighty thousand, eight hundred".