27398800 has 120 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 9177600.

The previous prime is 27398753. The next prime is 27398803. The reversal of 27398800 is 889372.

It is a self number, because there is not a number n which added to its sum of digits gives 27398800.

It is not an unprimeable number, because it can be changed into a prime (27398803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56961 + ... + 57439.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^27398800 is an apocalyptic number.

27398800 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 27398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747520).

27398800 is an abundant number, since it is smaller than the sum of its proper divisors (50096240).

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

27398800 is a wasteful number, since it uses less digits than its factorization.

27398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 27398800 is about 5234.3863059579. The cubic root of 27398800 is about 301.4698240010.

The spelling of 27398800 in words is "twenty-seven million, three hundred ninety-eight thousand, eight hundred".