27940800 has 84 divisors (see below), whose sum is σ = 91684856. Its totient is φ = 7449600.

The previous prime is 27940777. The next prime is 27940853. The reversal of 27940800 is 804972.

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

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, 1890 + ... + 7710.

Almost surely, 2^27940800 is an apocalyptic number.

27940800 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 27940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45842428).

27940800 is an abundant number, since it is smaller than the sum of its proper divisors (63744056).

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

27940800 is a wasteful number, since it uses less digits than its factorization.

27940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 27940800 is about 5285.9057880367. The cubic root of 27940800 is about 303.4447389632. Note that the first 3 decimals are identical.

It can be divided in two parts, 27 and 940800, that multiplied together give a square (25401600 = 5040²).

The spelling of 27940800 in words is "twenty-seven million, nine hundred forty thousand, eight hundred".