There is a sack full of potatoes. If potatoes are counted \(4\) by \(4\), \(5\) by \(5\), \(6\) by \(6\) or \(7\) by\(7\) always left over \(3\). The sack has more than \(3\) potatoes and less than \(800\). How many potatoes have the sack?

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