See here for the mathematics of an escape velocity. Escape velocity is
$$v_{e} = \sqrt{2gr} = \sqrt{2\cdot0.8g_{earth}\cdot0.87r_{earth}} = 0.83v_{e,earth}.$$
Escape velocity is 0.83 that of Earth, or 9.3 km/s. With a lower escape velocity, this planet won't really retain as much atmosphere as Earth, unless it is colder. A colder planet means the gas molecules have lower average energy, so they will be less likely to run off into space. This explains why Titan, which is much smaller than Earth, nevertheless has a denser atmosphere, since it is so much farther from the sun and much colder.
Also, the pressure of an atmosphere at sea level is equal to the mass of the air above you. Nitrogen and Oxygen weigh 28 and 32 grams per mol, respectively. Carbon dioxide will weigh 44 grams per mol; and something exotic like krypton 83 grams per mol. Not only do these heavier molecules have less of a chance of escaping, but hey will provide a higher atmospheric pressure at sea level. So if all the nitrogen in the atmosphere was replaced with krypton, then the atmospheric pressure at sea level will more than double.
Conclusion
With Earth-like atmospheric composition and temperatures, a 5 atm atmosphere on such a small planet is not possible, at least not stable over geological time. But you can have a high pressure atmosphere if you make the planet colder, or add heavy gasses instead of nitrogen or oxygen.