18078480 has 240 divisors, whose sum is σ = 73816704. Its totient is φ = 3870720.

The previous prime is 18078449. The next prime is 18078491. The reversal of 18078480 is 8487081.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×18078480² = 653662878220800, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 85575 + ... + 85785.

Almost surely, 2^18078480 is an apocalyptic number.

18078480 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 18078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36908352).

18078480 is an abundant number, since it is smaller than the sum of its proper divisors (55738224).

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

18078480 is a wasteful number, since it uses less digits than its factorization.

18078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

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

The square root of 18078480 is about 4251.8795843721. The cubic root of 18078480 is about 262.4544682933.

The spelling of 18078480 in words is "eighteen million, seventy-eight thousand, four hundred eighty".