  In this paper, we consider the large deviations of invariant measure for the
3D stochastic hyperdissipative Navier-Stokes equations driven by additive
noise. The unique ergodicity of invariant measure as a preliminary result is
proved using a deterministic argument by the exponential moment and exponential
stability estimates. Then, the uniform large deviations is established by the
uniform contraction principle. Finally, using the unique ergodicity and the
uniform large deviations results, we prove the large deviations of invariant
measure by verifying the Freidlin-Wentzell large deviations upper and lower
bounds.
