27045800 has 48 divisors (see below), whose sum is σ = 63240000. Its totient is φ = 10756800.

The previous prime is 27045787. The next prime is 27045829. The reversal of 27045800 is 854072.

It is a super-4 number, since 4×27045800⁴ (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27045800.

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, 53951 + ... + 54449.

It is an arithmetic number, because the mean of its divisors is an integer number (1317500).

Almost surely, 2^27045800 is an apocalyptic number.

27045800 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 27045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31620000).

27045800 is an abundant number, since it is smaller than the sum of its proper divisors (36194200).

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

27045800 is a wasteful number, since it uses less digits than its factorization.

27045800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 27045800 is about 5200.5576624051. The cubic root of 27045800 is about 300.1695338059.

Adding to 27045800 its reverse (854072), we get a palindrome (27899872).

The spelling of 27045800 in words is "twenty-seven million, forty-five thousand, eight hundred".