1830800 has 60 divisors (see below), whose sum is σ = 4612800. Its totient is φ = 696960.

The previous prime is 1830757. The next prime is 1830817. The reversal of 1830800 is 80381.

1830800 = T₁₉₅ + T₁₉₆ + ... + T₂₆₃.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9101 + ... + 9299.

It is an arithmetic number, because the mean of its divisors is an integer number (76880).

2^1830800 is an apocalyptic number.

1830800 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 1830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306400).

1830800 is an abundant number, since it is smaller than the sum of its proper divisors (2782000).

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

1830800 is a wasteful number, since it uses less digits than its factorization.

1830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1830800 is about 1353.0705820466. The cubic root of 1830800 is about 122.3339413153. Note that the first 3 decimals are identical.

The spelling of 1830800 in words is "one million, eight hundred thirty thousand, eight hundred".