1808000 has 64 divisors (see below), whose sum is σ = 4534920. Its totient is φ = 716800.

The previous prime is 1807999. The next prime is 1808003. The reversal of 1808000 is 8081.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 1700416 = 328^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1808000.

It is not an unprimeable number, because it can be changed into a prime (1808003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15944 + ... + 16056.

2^1808000 is an apocalyptic number.

1808000 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 1808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267460).

1808000 is an abundant number, since it is smaller than the sum of its proper divisors (2726920).

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

1808000 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (1808001) it forms an eRAP, since the sums of their prime factors are consecutive (142 and 143).

1808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

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

The square root of 1808000 is about 1344.6189051177. The cubic root of 1808000 is about 121.8239869784.

It can be divided in two parts, 180 and 8000, that multiplied together give a square (1440000 = 1200²).

The spelling of 1808000 in words is "one million, eight hundred eight thousand".