1820800 has 48 divisors (see below), whose sum is σ = 4505850. Its totient is φ = 727040.

The previous prime is 1820783. The next prime is 1820809. The reversal of 1820800 is 80281.

It is a happy number.

1820800 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 1032256 + 788544 = 1016^2 + 888^2 .

It is not an unprimeable number, because it can be changed into a prime (1820809) 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, 2916 + ... + 3484.

2^1820800 is an apocalyptic number.

1820800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252925).

1820800 is an abundant number, since it is smaller than the sum of its proper divisors (2685050).

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

1820800 is an equidigital number, since it uses as much as digits as its factorization.

1820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1820800 is about 1349.3702234746. The cubic root of 1820800 is about 122.1108014260.

The spelling of 1820800 in words is "one million, eight hundred twenty thousand, eight hundred".