That explains it. The Z400 -like many of HPs business machines- uses a propietary PSU. No other PSU is going to work without modification. Keep in mind that yoou should do this only if you are comfortable with soldering and re-routing a few wires. Routing the wrong wire to the wrong connection won't kill you becuase all power inside the PC is DC, but could very well short circuit your components. If you are willing to, here is what you need to change:
The picture shows the original HP Z400 475W wiring scheme; the three marked pins show where HP differs to ATX 24 pin standard. This is what you need to change by building an adaptor from a 24-pin extension cable and a couple of molex extensions:
Basically, you need to cut off the male side of both molex extensions, as well as the wires that go to pins #12, #23 and #20 on the male side of the 24-pin ATX connector (You can remove those wires from both ends if you want). Then, you need to re-route the two yellow 12V wires from the molex extensions to pins #12 and #23 respectively, and then one of the black wires from one of the molex extensions to pin #20. Plug the female end of molex and ATX extensions into the corresponding ports on your replacement PSU and then everything should start up.
Your components don't need a 750W PSU. Return the CX750 and buy a better quality 550W PSU for the same price. Anything from XFX or Seasonic, along with EVGA's B2, GS, G2 and P2 lines is fine.
http://pcpartpicker.com/parts/compare/evga-power-supply-110b20750vr,evga-power-supply-220g20650y1,seasonic-power-supply-s12ii520bronze,xfx-power-supply-p1550sxxb9/