1800006800 has 120 divisors (see below), whose sum is σ = 4709668800. Its totient is φ = 658506240.

The previous prime is 1800006773. The next prime is 1800006811. The reversal of 1800006800 is 86000081.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216317 + ... + 224483.

It is an arithmetic number, because the mean of its divisors is an integer number (39247240).

Almost surely, 2^1800006800 is an apocalyptic number.

1800006800 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 1800006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354834400).

1800006800 is an abundant number, since it is smaller than the sum of its proper divisors (2909662000).

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

1800006800 is a wasteful number, since it uses less digits than its factorization.

1800006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1800006800 is about 42426.4870098857. The cubic root of 1800006800 is about 1216.4419309266.

Adding to 1800006800 its reverse (86000081), we get a palindrome (1886006881).

The spelling of 1800006800 in words is "one billion, eight hundred million, six thousand, eight hundred".