System Upgrade to I7 3770k

Hello, I was going to update my CPU to a Intel i7 3770k, these are my current system specs:

OS Name Microsoft Windows 7 Home Premium

Version 6.1.7601 Service Pack 1 Build 7601OS

Manufacturer Microsoft Corporation
System Manufacturer Gateway

System Model FX6860
System Type x64-based PC

Processor Intel® Core™ i7-2600 CPU @ 3.40GHz, 3401 Mhz, 4 Core(s), 8 Logical Processor(s)
BIOS Version/Date American Megatrends Inc. P01-A3, 4/19/2011
SMBIOS Version 2.6Windows Directory C:\Windows
System Directory C:\Windows\system32Boot Device \Device\HarddiskVolume2
Hardware Abstraction Layer Version = "6.1.7601.17514"

Installed Physical Memory (RAM) 16.0 GB
Total Physical Memory 16.0 GB

Available Physical Memory 13.2 GB
Total Virtual Memory 32.0 GB
Available Virtual Memory 29.0 GBPage File Space 16.0 GB
 

So, the ultimate question, do these all support the Intel I7-3770k Processor(as well as a new cooler I would like to be install, the Xigmatek Dark Knight II cpu cooler)? Do I have to change anything? Is this all good for the 3770k and the Xigmatek Dark Knight II cpu cooler? I don't want to have to get a new BIOS, so I hope these specs are good!