It should be noted that 6 degrees of freedom is the minimum that enables reaching any point with any orientation of the effector, while 7 degrees of freedom is what a human arm has with the shoulder fixed, which enables reaching some points even around some obstacles that would block a 6 degrees of freedom arm.

Including the movements of the shoulder, a human arm has 9 degrees of freedom, but the additional 2 degrees of freedom do not provide a new capability, they just extend the range of possible motions beyond that limited by the joints of the other degrees of freedom.

An arm with many degrees of freedom, like an octopus arm, could reach some places even when having to avoid many obstacles.