Darklands Puzzle #28

The path is blocked by a dark iron door. Carved over it is an inscription:
PASS WITH THE NEXT NUMBER.
27 64 125 216 343
Embossed on the door are five metal knobs. each bearing a number. Doubtless pressing the wrong number releases a trap! You press...
...512.
...434.
...675.
...0.
...717.

(Source: Darklands cluebook by MicroProse Software)

These numbers are a sequence of cubes. Starting from three and leading up to seven inclusive. The cube of eight is 512 so one must touch the knob labeled as such.