27678 is a member of OEIS A097546: denominators of "Farey fraction" approximations to Pi. The fraction is 86953/27678 = 3.14159260062143 ... with 3.14159265358979 ... being the value of pi. See blog post Farey Fractions.

27678 is an abundant, pseudoperfect and Zumkeller number.

27678 does not reach a homeprime after 25 iterations.

27678 has an aliquot sequence that doesn't terminate after 101 steps.

27678 can be rendered as a digit equation as follws:

2 = 7 - 6 - 7 + 8