Tiny objection to Sammy's answer: it's pretty trivially the ideal gas equation of state. True, as Sammy says, "high force from atmospheric pressure" versus "little force from partial vacuum". But note that the suction cup always has to lift up from the table at least a little bit in order to create a non-zero volume containing (pretty much) zero moles of gas, whereby we now have $PV=nRT$ with $n=0,V>0$ so that necessarily $P=0$. You've got to put that equation "into play", so to speak, by creating a $V>0$ volume when the suction cup lifts slightly off the table.