27280880 has 80 divisors (see below), whose sum is σ = 71647200. Its totient is φ = 9569280.

The previous prime is 27280879. The next prime is 27280901. The reversal of 27280880 is 8808272.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27280880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24986 + ... + 26054.

It is an arithmetic number, because the mean of its divisors is an integer number (895590).

Almost surely, 2^27280880 is an apocalyptic number.

27280880 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 27280880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35823600).

27280880 is an abundant number, since it is smaller than the sum of its proper divisors (44366320).

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

27280880 is a wasteful number, since it uses less digits than its factorization.

27280880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 27280880 is about 5223.1101845548. The cubic root of 27280880 is about 301.0367096135.

The spelling of 27280880 in words is "twenty-seven million, two hundred eighty thousand, eight hundred eighty".