Intel does not supply a heat sink with the i7 7700K for two reasons:
1.) They want to get as much money as they can.
2.) They do not know what case you are using.
You will overheat the i7 7700K if you use a cooler from an i5, the i7 7700K gets hot.
You should at least purchase a moderate air cooler. ARCTIC COOLING Freezer i32 120mm Fluid Dynamic CPU Cooler. You can get it at various places, here is Newegg
https://www.newegg.com/Product/Product.aspx?Item=9SIA4RE4M24012&cm_re=Arctic_Freezer_i32_Cooler-_-35-186-140-_-Product
This cooler comes in two versions, this one is $4 more. The difference is this one has a fluid bearing and will last much longer than the less expensive version...