A Radeon HD 7850 will definitely work with Seasonic 400W (OEM) (SS-401HT) power supply unit and have better performance than any GeForce GTX 560, Radeon HD 6870 or Radeon HD 6850 but you'll have to decide whether or not it's within your budget range and market availability.
For a system using a reference clocked single Radeon HD 7850 graphics card AMD specifies a minimum of a 500 Watt or greater power supply. The power supply should also have a combined +12 Volt continuous current rating of 24 Amps or greater and have at least one 6-pin PCI Express supplementary power connector.
For a system using a single GeForce GTX 560 graphics card NVIDIA specifies a minimum of a 450 Watt or greater power supply that has a combined +12 Volt continuous current rating of 24 Amps or greater and that has at least two 6-pin PCI Express supplementary power connectors. A reference design card will draw more than 17 Amps when running a GPU stress testing utility like FurMark or OCCT GPU:3D and will exceed the SS-401HT's capability to properly power the rest of the system components.
For a system using a single Radeon HD 6870 graphics card AMD specifies a minimum of a 500 Watt or greater power supply. The power supply should also have a combined +12 Volt continuous current rating of 30 Amps or greater and have at least two 6-pin PCI Express supplementary power connectors. A reference design card will draw more than 14 Amps when running a GPU stress testing utility like FurMark or OCCT GPU:3D and will exceed the SS-401HT's capability to properly power the rest of the system components.
For a system using a single Radeon HD 6850 graphics card AMD specifies a minimum of a 500 Watt or greater power supply. The power supply should also have a combined +12 Volt continuous current rating of 24 Amps or greater and have at least one 6-pin PCI Express supplementary power connector.
Total Power Supply Wattage is NOT the crucial factor in power supply selection!!! Total Continuous Amperage Available on the +12V Rail(s) is the most important factor.
The Seasonic 400W (OEM) (SS-401HT), with its combined +12 Volt continuous current rating of 29 Amps and with one 6-pin PCI Express supplementary power connectors, is sufficient to power your system configuration with a single Radeon HD 7850 or a single Radeon HD 6850.