There are two model variants: LG D820 S and LG D820 C, According to the Bluetooth SIG Fillings. Maybe the LG D820 S is the Nexus 5 for Sprint.
The LG D820 FCC documents suggest that the Google Nexus 5 (AKA LG D820) support following wireless technology and frequency bands:
WCDMA 5,4,2 (850/1700/1900) HSPA+42 (full speed on T-mobile where LTE is not available)
This means that the device is fully compatible with Sprint (including tri-band LTE), AT&T and T-mobile but not Verizon Wireless.
Today, The LG D820 was listed on LGMobile Support Tool with the information that the Nexus 5 is coming to Sprint.
As you can see in the above image, Sprint will the first to carry this Google Nexus 5 in the United States.