  In this paper, by utilizing the rainbow functions that were proposed by
Amelino-Camelia \emph{et al}., the information flux of rainbow Schwarzschild
black hole and the sparsity of Hawking radiation in rainbow gravity are
explored. The results show that the rainbow gravity has a very significant
effect on the information flux. When the mass of rainbow Schwarzschild black
hole approaches to the order of Planck scale, the Bekenstein entropy loss per
emitted quanta in terms of the mass of Schwarzschild black hole reduces to
zero. Furthermore, we also find the sparsity of Hawking radiation in rainbow
gravity is no longer a constant; instead, it monotonically decreases as the
mass of black hole decrease. At the final stages of evaporation, the modified
sparsity becomes infinity, which indicates the effect of quantum gravity stops
Hawking radiation and leads to remnant.
