the Z8080 processor
I think you're a bit confused. Intel made the 8080. The designer left, founded Zilog, and made the Z80. AFAIK, there was never a Z8080.
Followons to the Z80 included the Z180, Z280, Z380, eZ80, Z800 (which, IIRC, Hitachi knocked off as the 64180 and eventually got licensed back by Zilog as the Z180), the Z8000, and (don't know if it ever shipped) the Z80,000. Zilog also does a Z8 microcontroller.
Hmmmm...This is what I remember my Teacher telling me what it was, we had Zenith “micro-computers” and he told the class that they had a “Z8080” processor chip. (man, am I dating myself or what?). I found this below on http://hubpages.com/hub/A-Brief-History-of-the-Micro-Computer
The “Chips” That Started it All
Intel
In mid 1974 Intel, a transistor and memory chip manufacturer, came up with the first successful “computer on a chip” design called the 8080. It ran at two (2) megaHertz and performed computing functions via an eight bit Central Processing Unit (CPU). The 8080 had a forty pin design that allowed for a sixteen (16) bit bus.
This was the improved version of the 8008 which had been designed for Computer Terminal Corporation. Because the 8008 did not meet CTCs performance specifications the 8080 was developed, but by then CTC was using their own chip. Intel found a home for the 8080 in the Altair (see below).
MOS Technology
In 1975 MOS Technology developed a similar chip to the 8080 above. The designer was Chuck Peddle of Motorola and his idea was to design a chip that was compatible to the Motorola 6800, but considerably cheaper. Initially there was little public interest because it was so cheap (at $25 compared to Intel’s $179) that no one took it seriously. Fortunately both Intel and Motorola did take it seriously, dropped their prices to under $80, and in the process made the 6502 attractive.
This was the first chip used in the Apple and Commodore computers.
First Computer on a Chip
Intel C8080
Interesting story there....