 Because the residence of the Mongol prince Hada was located close by, the gate was also popularly known as Hadamen (traditional 哈達門, simplified 哈大門) or Hademen (traditional 哈德門, simplified 哈德门).The name Hademen survived well into the twentieth century, and was even the name of a popular cigarette brand.The Hademen Hotel now overlooks where the gate once stood.