The surface area of bag is 800 sq inches. The overhead bin to put them in is 102 x 36 x 33 inches. How many of the bags will fit in the overhead bin?

The volume of the overhead bin is 102 * 36 * 33 = <<102*36*33=112104>>112104 cubic inches.

If the surface area of the bag is 800 square inches, then its volume is 800/800 = <<800/800=1>>1 cubic inch.
Therefore, the number of bags that will fit in the overhead bin is 112104/1 = <<112104/1=112104>>112104 bags. Answer: \boxed{112104}.