27783680 has 40 divisors (see below), whose sum is σ = 66621852. Its totient is φ = 11112448.

The previous prime is 27783677. The next prime is 27783683. The reversal of 27783680 is 8638772.

It is an interprime number because it is at equal distance from previous prime (27783677) and next prime (27783683).

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 73984 = 5264^2 + 272^2 .

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

It is not an unprimeable number, because it can be changed into a prime (27783683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2867 + ... + 7986.

Almost surely, 2^27783680 is an apocalyptic number.

27783680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27783680 is an abundant number, since it is smaller than the sum of its proper divisors (38838172).

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

27783680 is an equidigital number, since it uses as much as digits as its factorization.

27783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 27783680 is about 5271.0226711711. The cubic root of 27783680 is about 302.8748807187.

The spelling of 27783680 in words is "twenty-seven million, seven hundred eighty-three thousand, six hundred eighty".