If the value of $x$ (non-integer) satisfying the equation $x+\frac{92}{x}=\left[x\right]+\frac{92}{\left[x\right]}$ is $m,$ then find $\left[m\right]$.

Where $\left[·\right]$ denotes the greatest integer function.

The number of different non-negative integers that are there in the sequence $\left[\frac{1^2}{1980}\right], \left[\frac{2^2}{1980}\right], \left[\frac{3^2}{1980}\right],\dots , \left[\frac{{1980}^2}{1980}\right]$ be $m$, then what is the sum of digits of $m$?

Where $\left[·\right]$ represents the greatest integer function.