18730800 has 270 divisors, whose sum is σ = 73109036. Its totient is φ = 4435200.

The previous prime is 18730799. The next prime is 18730801. The reversal of 18730800 is 803781.

18730800 = T₁₃₄ + T₁₃₅ + ... + T₄₈₅.

It is an interprime number because it is at equal distance from previous prime (18730799) and next prime (18730801).

It is not an unprimeable number, because it can be changed into a prime (18730801) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 435579 + ... + 435621.

Almost surely, 2^18730800 is an apocalyptic number.

18730800 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 18730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36554518).

18730800 is an abundant number, since it is smaller than the sum of its proper divisors (54378236).

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

18730800 is a wasteful number, since it uses less digits than its factorization.

18730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18730800 is about 4327.9094260393. The cubic root of 18730800 is about 265.5739311280.

The spelling of 18730800 in words is "eighteen million, seven hundred thirty thousand, eight hundred".