27768000 has 224 divisors, whose sum is σ = 99852480. Its totient is φ = 6758400.

The previous prime is 27767989. The next prime is 27768001. The reversal of 27768000 is 86772.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27768001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311956 + ... + 312044.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 2^27768000 is an apocalyptic number.

27768000 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 27768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

27768000 is an abundant number, since it is smaller than the sum of its proper divisors (72084480).

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

27768000 is a wasteful number, since it uses less digits than its factorization.

27768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 27768000 is about 5269.5350838570. The cubic root of 27768000 is about 302.8178931658.

The spelling of 27768000 in words is "twenty-seven million, seven hundred sixty-eight thousand".