27456880 has 80 divisors (see below), whose sum is σ = 71432928. Its totient is φ = 9728000.

The previous prime is 27456859. The next prime is 27456899. The reversal of 27456880 is 8865472.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35700 + ... + 36460.

Almost surely, 2^27456880 is an apocalyptic number.

27456880 is a gapful number since it is divisible by the number (20) 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 27456880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35716464).

27456880 is an abundant number, since it is smaller than the sum of its proper divisors (43976048).

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

27456880 is a wasteful number, since it uses less digits than its factorization.

27456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 27456880 is about 5239.9312972595. The cubic root of 27456880 is about 301.6826923238.

The spelling of 27456880 in words is "twenty-seven million, four hundred fifty-six thousand, eight hundred eighty".