27794080 has 24 divisors (see below), whose sum is σ = 65663892. Its totient is φ = 11117568.

The previous prime is 27794071. The next prime is 27794083. The reversal of 27794080 is 8049772.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26998416 + 795664 = 5196^2 + 892^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27794083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86697 + ... + 87016.

Almost surely, 2^27794080 is an apocalyptic number.

27794080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27794080 is an abundant number, since it is smaller than the sum of its proper divisors (37869812).

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

27794080 is a wasteful number, since it uses less digits than its factorization.

27794080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173728 (or 173720 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 27794080 is about 5272.0091046962. The cubic root of 27794080 is about 302.9126667597.

It can be divided in two parts, 2779 and 4080, that added together give a cube (6859 = 19³).

The spelling of 27794080 in words is "twenty-seven million, seven hundred ninety-four thousand, eighty".