27380880 has 120 divisors (see below), whose sum is σ = 97406712. Its totient is φ = 6868992.

The previous prime is 27380839. The next prime is 27380923. The reversal of 27380880 is 8808372.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 17943696 = 3072^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 11122 + ... + 13358.

Almost surely, 2^27380880 is an apocalyptic number.

27380880 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 27380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48703356).

27380880 is an abundant number, since it is smaller than the sum of its proper divisors (70025832).

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

27380880 is a wasteful number, since it uses less digits than its factorization.

27380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 27380880 is about 5232.6742684788. The cubic root of 27380880 is about 301.4040848998.

The spelling of 27380880 in words is "twenty-seven million, three hundred eighty thousand, eight hundred eighty".