1800115200 has 396 divisors, whose sum is σ = 6952602748. Its totient is φ = 442368000.

The previous prime is 1800115139. The next prime is 1800115201. The reversal of 1800115200 is 25110081.

It can be written as a sum of positive squares in 6 ways, for example, as 40144896 + 1759970304 = 6336^2 + 41952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800115201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2994900 + ... + 2995500.

Almost surely, 2^1800115200 is an apocalyptic number.

1800115200 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 1800115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476301374).

1800115200 is an abundant number, since it is smaller than the sum of its proper divisors (5152487548).

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

1800115200 is a wasteful number, since it uses less digits than its factorization.

1800115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1800115200 is about 42427.7644944911. The cubic root of 1800115200 is about 1216.4663492896.

Adding to 1800115200 its reverse (25110081), we get a palindrome (1825225281).

It can be divided in two parts, 1800 and 115200, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 1800115200 in words is "one billion, eight hundred million, one hundred fifteen thousand, two hundred".