27420800 has 192 divisors, whose sum is σ = 79682400. Its totient is φ = 9216000.

The previous prime is 27420791. The next prime is 27420851. The reversal of 27420800 is 802472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668780 + ... + 668820.

Almost surely, 2^27420800 is an apocalyptic number.

27420800 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 27420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

27420800 is an abundant number, since it is smaller than the sum of its proper divisors (52261600).

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

27420800 is a wasteful number, since it uses less digits than its factorization.

27420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 27420800 is about 5236.4873722754. The cubic root of 27420800 is about 301.5504913023.

The spelling of 27420800 in words is "twenty-seven million, four hundred twenty thousand, eight hundred".