14878080 has 320 divisors, whose sum is σ = 62203680. Its totient is φ = 3317760.

The previous prime is 14878069. The next prime is 14878081. The reversal of 14878080 is 8087841.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14878081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362860 + ... + 362900.

Almost surely, 2^14878080 is an apocalyptic number.

14878080 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 14878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31101840).

14878080 is an abundant number, since it is smaller than the sum of its proper divisors (47325600).

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

14878080 is an equidigital number, since it uses as much as digits as its factorization.

14878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

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

The square root of 14878080 is about 3857.2114279619. The cubic root of 14878080 is about 245.9512098361.

The spelling of 14878080 in words is "fourteen million, eight hundred seventy-eight thousand, eighty".