1820044800 has 720 divisors, whose sum is σ = 7770446112. Its totient is φ = 398131200.

The previous prime is 1820044781. The next prime is 1820044819. The reversal of 1820044800 is 84400281.

1820044800 is a `hidden beast` number, since 18 + 200 + 448 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1820044781) and next prime (1820044819).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29836770 + ... + 29836830.

Almost surely, 2^1820044800 is an apocalyptic number.

1820044800 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 1820044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885223056).

1820044800 is an abundant number, since it is smaller than the sum of its proper divisors (5950401312).

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

1820044800 is a wasteful number, since it uses less digits than its factorization.

1820044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1820044800 is about 42661.9830762706. The cubic root of 1820044800 is about 1220.9391675448.

The spelling of 1820044800 in words is "one billion, eight hundred twenty million, forty-four thousand, eight hundred".