27740 has 24 divisors (see below), whose sum is σ = 62160. Its totient is φ = 10368.

The previous prime is 27739. The next prime is 27743. The reversal of 27740 is 4772.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27743) 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, 344 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (2590).

2²⁷⁷⁴⁰ is an apocalyptic number.

27740 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 27740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31080).

27740 is an abundant number, since it is smaller than the sum of its proper divisors (34420).

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

27740 is a wasteful number, since it uses less digits than its factorization.

27740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 27740 is about 166.5532947738. The cubic root of 27740 is about 30.2716076296.

It can be divided in two parts, 27 and 740, that added together give a palindrome (767).

The spelling of 27740 in words is "twenty-seven thousand, seven hundred forty", and thus it is an iban number.