18780400 has 60 divisors (see below), whose sum is σ = 46704600. Its totient is φ = 7248640.

The previous prime is 18780383. The next prime is 18780403. The reversal of 18780400 is 408781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18780403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10791 + ... + 12409.

It is an arithmetic number, because the mean of its divisors is an integer number (778410).

Almost surely, 2^18780400 is an apocalyptic number.

18780400 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 18780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23352300).

18780400 is an abundant number, since it is smaller than the sum of its proper divisors (27924200).

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

18780400 is a wasteful number, since it uses less digits than its factorization.

18780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 18780400 is about 4333.6358868737. The cubic root of 18780400 is about 265.8081417501.

The spelling of 18780400 in words is "eighteen million, seven hundred eighty thousand, four hundred".