Find the unique 3 digit number N=\underline{A} \underline{B} \underline{C} whose digits (A, B, C) are all nonzero, with the property that the product P=\underline{A} \underline{B} \underline{C} \times \underline{A} \underline{B} \times \underline{A} is divisible by 1000.