<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Find the number of eight-digit numbers where the product of the digits equals 3375. The answer must be presented as an integer. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
1680
Find the number of eight-digit numbers where the product of the digits equals 3375. The answer must be presented as an integer.
test