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That 800 processing elements are grouped in SPs, each one composed by 5 units (four simple and one complex unit), so there are 160 SPs in total.
Anandtech has a good article about RV770 architecture: http://www.anandtech.com/video/showdoc.aspx?i=3341&p=3
For more information you can also have a look at your Brook+ documentation directory: "docs/HWGuide.doc"
I think 800 stream processors can operate on a float, not float4. It is vector machine and each component is already included in the number 800.
Yep, bjang has got it correct.
At a peak, the 4850s and 4870s can be performing 800 floating point (32-bit) operations at the same time.
If you take a look at page 10 of http://ati.amd.com/technology/...Computing_Overview.pdf Figure 8, then it is the 800 stream cores that are performing all of the floating point operations.