27768800 has 72 divisors (see below), whose sum is σ = 68651856. Its totient is φ = 10967040.

The previous prime is 27768799. The next prime is 27768817. The reversal of 27768800 is 886772.

It is a super-2 number, since 2×27768800² = 1542212506880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82232 + ... + 82568.

It is an arithmetic number, because the mean of its divisors is an integer number (953498).

Almost surely, 2^27768800 is an apocalyptic number.

27768800 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 27768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34325928).

27768800 is an abundant number, since it is smaller than the sum of its proper divisors (40883056).

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

27768800 is a wasteful number, since it uses less digits than its factorization.

27768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 27768800 is about 5269.6109913351. The cubic root of 27768800 is about 302.8208012132.

The spelling of 27768800 in words is "twenty-seven million, seven hundred sixty-eight thousand, eight hundred".