In this talk we give an overview of zeta functions and $K$-theory in $\Bbb F_1$-geometry. We begin with a short historical introduction before we explain what the zeta functions of an $\Bbb F_1$-scheme is. In the second part on $K$-theory, we begin with a reminder of Quillen's $Q$-construction before we give an impression how it is applied to a specific approach to $\Bbb F_1$-geometry via monoid schemes. The talk is accessible without any preknowledge on $\Bbb F_1$-geometry, and focus lies on conveying the grand ideas.