1816840800 has 432 divisors, whose sum is σ = 6964710480. Its totient is φ = 457021440.

The previous prime is 1816840799. The next prime is 1816840849. The reversal of 1816840800 is 80486181.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 7797484 + ... + 7797716.

It is an arithmetic number, because the mean of its divisors is an integer number (16122015).

Almost surely, 2^1816840800 is an apocalyptic number.

1816840800 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 1816840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482355240).

1816840800 is an abundant number, since it is smaller than the sum of its proper divisors (5147869680).

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

1816840800 is a wasteful number, since it uses less digits than its factorization.

1816840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1816840800 is about 42624.4155385150. The cubic root of 1816840800 is about 1220.2223011556. Note that the first 3 decimals are identical.

The spelling of 1816840800 in words is "one billion, eight hundred sixteen million, eight hundred forty thousand, eight hundred".