1801564800 has 768 divisors, whose sum is σ = 7649510400. Its totient is φ = 362741760.

The previous prime is 1801564777. The next prime is 1801564837. The reversal of 1801564800 is 84651081.

It is a super-3 number, since 3×1801564800³ (a number of 29 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21705559 + ... + 21705641.

It is an arithmetic number, because the mean of its divisors is an integer number (9960300).

Almost surely, 2^1801564800 is an apocalyptic number.

1801564800 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 1801564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824755200).

1801564800 is an abundant number, since it is smaller than the sum of its proper divisors (5847945600).

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

1801564800 is a wasteful number, since it uses less digits than its factorization.

1801564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1801564800 is about 42444.8442098684. The cubic root of 1801564800 is about 1216.7927944137.

The spelling of 1801564800 in words is "one billion, eight hundred one million, five hundred sixty-four thousand, eight hundred".