A diffraction grating has $563$ lines $($rulings$)$ per mm$.$ When white light shines on the grating, all wavelengths experience constructive interference at the centre of the diffraction pattern, so the central maximum $($m $=0)$ is white. However, the higher order maxima $($side fringes$)$ occur at different angles for different wavelengths, so the colours are dispersed. How many complete orders of the visible spectrum will be produced in the diffraction pattern? Assume that the range of visible wavelengths is $400-700$ nm$.$

Your answer should be an integer.

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