27768080 has 40 divisors (see below), whose sum is σ = 66792600. Its totient is φ = 10723328.

The previous prime is 27768043. The next prime is 27768113. The reversal of 27768080 is 8086772.

It can be written as a sum of positive squares in 4 ways, for example, as 226576 + 27541504 = 476^2 + 5248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3665 + ... + 8304.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815).

Almost surely, 2^27768080 is an apocalyptic number.

27768080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27768080 is an abundant number, since it is smaller than the sum of its proper divisors (39024520).

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

27768080 is a wasteful number, since it uses less digits than its factorization.

27768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 27768080 is about 5269.5426746540. The cubic root of 27768080 is about 302.8181839730.

The spelling of 27768080 in words is "twenty-seven million, seven hundred sixty-eight thousand, eighty".