Static torque at the shoulder
Torque is force times lever arm. A payload of mass m pulls down with m times g, and when it is held a horizontal distance R from the shoulder axis, the shoulder motor must supply about m times g times R just to hold it still. A 10 kg part at 1.2 m needs about 118 N·m.
This readout is a simplified worst case with the arm stretched level. Real sizing also adds the weight of the links, the gripper and the motors beyond the shoulder, plus extra torque to accelerate the load, which can exceed the static value on fast cycles. The 300 N·m rating is an illustrative figure, not a specific product.
Six axes, six jobs
Three axes are enough to put a point anywhere in the work zone: base, shoulder and elbow. Three more at the wrist let the tool reach that point at any angle. Axes nearer the base carry more load, so their motors and gearboxes are the largest, and the wrist motors are small.
Parts per hour is simply 3600 seconds divided by the cycle time. Faster cycles demand faster accelerations, which is one more reason heavy payloads usually run slower.