27778560 has 80 divisors (see below), whose sum is σ = 88829136. Its totient is φ = 7405568.

The previous prime is 27778547. The next prime is 27778567. The reversal of 27778560 is 6587772.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27778567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5872 + ... + 9488.

Almost surely, 2^27778560 is an apocalyptic number.

27778560 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 27778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44414568).

27778560 is an abundant number, since it is smaller than the sum of its proper divisors (61050576).

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

27778560 is an equidigital number, since it uses as much as digits as its factorization.

27778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 27778560 is about 5270.5369745406. The cubic root of 27778560 is about 302.8562748962.

The spelling of 27778560 in words is "twenty-seven million, seven hundred seventy-eight thousand, five hundred sixty".