  In the context of the dRGT massive gravity coupled with nonlinear
electrodynamics, we present new dRGT black hole solutions. Together with the
thermodynamical properties of the solutions, we study the greybody factor of
the corresponding black hole solution. To this end, we compute the rigorous
bound on the greybody factor for the obtained dRGT black holes. The obtained
results are graphically represented for different values of the theory's
physical parameters. Our analysis shows that the charged dRGT black holes of
nonlinear electrodynamics evaporate quicker than the charged dRGT black holes
originated from linear electrodynamics.
