1800800 has 36 divisors (see below), whose sum is σ = 4398156. Its totient is φ = 720000.

The previous prime is 1800787. The next prime is 1800803. The reversal of 1800800 is 80081.

1800800 = T₂₄₃ + T₂₄₄ + ... + T₂₉₂.

It is a happy number.

1800800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800803) 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 5 ways as a sum of consecutive naturals, for example, 326 + ... + 1925.

It is an arithmetic number, because the mean of its divisors is an integer number (122171).

2^1800800 is an apocalyptic number.

1800800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1800800 is an abundant number, since it is smaller than the sum of its proper divisors (2597356).

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

1800800 is a wasteful number, since it uses less digits than its factorization.

1800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2258 counting only the distinct ones).

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

The square root of 1800800 is about 1341.9388957773. The cubic root of 1800800 is about 121.6620585815.

Adding to 1800800 its reverse (80081), we get a palindrome (1880881).

It can be divided in two parts, 1800 and 800, that multiplied together give a square (1440000 = 1200²).

The spelling of 1800800 in words is "one million, eight hundred thousand, eight hundred".