The present disclosure relates to pumps. Various embodiments may include a high-pressure fuel pump with: a low-pressure region with a low-pressure damper for damping pressure pulsations that occur during the operation of the high-pressure fuel pump; a damper capsule contained in the damper volume; and a spiral spring enclosed in the damper volume for imparting a preload force to at least a region of the damper capsule. The low-pressure damper has a damper volume. The damper capsule has a gas volume enclosed between two membranes.