27680800 has 72 divisors (see below), whose sum is σ = 77245056. Its totient is φ = 9488640.

The previous prime is 27680789. The next prime is 27680803. The reversal of 27680800 is 808672.

It is not an unprimeable number, because it can be changed into a prime (27680803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3129 + ... + 8071.

It is an arithmetic number, because the mean of its divisors is an integer number (1072848).

Almost surely, 2^27680800 is an apocalyptic number.

27680800 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 27680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38622528).

27680800 is an abundant number, since it is smaller than the sum of its proper divisors (49564256).

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

27680800 is a wasteful number, since it uses less digits than its factorization.

27680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 27680800 is about 5261.2546032292. The cubic root of 27680800 is about 302.5005805603.

The spelling of 27680800 in words is "twenty-seven million, six hundred eighty thousand, eight hundred".