18780480 has 84 divisors (see below), whose sum is σ = 64606932. Its totient is φ = 5007360.

The previous prime is 18780479. The next prime is 18780523. The reversal of 18780480 is 8408781.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 5992704 = 3576^2 + 2448^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381 + ... + 6140.

Almost surely, 2^18780480 is an apocalyptic number.

18780480 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 18780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32303466).

18780480 is an abundant number, since it is smaller than the sum of its proper divisors (45826452).

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

18780480 is a wasteful number, since it uses less digits than its factorization.

18780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 18780480 is about 4333.6451169887. The cubic root of 18780480 is about 265.8085191759.

The spelling of 18780480 in words is "eighteen million, seven hundred eighty thousand, four hundred eighty".