27800 has 24 divisors (see below), whose sum is σ = 65100. Its totient is φ = 11040.

The previous prime is 27799. The next prime is 27803. The reversal of 27800 is 872.

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 269.

2^{27800} is an apocalyptic number.

27800 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 27800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550).

27800 is an abundant number, since it is smaller than the sum of its proper divisors (37300).

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

27800 is a wasteful number, since it uses less digits than its factorization.

27800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 27800 is about 166.7333200053. The cubic root of 27800 is about 30.2934171527.

The spelling of 27800 in words is "twenty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 5560 6950 13900 27800

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