
Samsung Galaxy Tab E 8.0
The latest firmware for Samsung Galaxy Tab E 8.0 (SM-T377V) is T377VVRU1CRF3 with Android 7.1.1 (Lollipop), released on June 12, 2018 for 1 region (CSC). Every official firmware build for SM-T377V, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/T377VVRU1CRF3
SM-T377V started on Android 5 and has received 2 major Android upgrades; it now runs Android 7.1.1 (Lollipop). The newest build, T377VVRU1CRF3, was released on June 12, 2018. No new build has appeared for 102 months, so regular updates for this model have most likely ended.
Box codes of SM-T377V for different colors and markets. Firmware is chosen by the model code SM-T377V and your region (CSC), not by the SKU.

SM-T377T

SM-T378V

SM-T387V

SM-T365Y

SM-T385S
The newest firmware for SM-T377V runs Android 7.1.1 (Lollipop): build T377VVRU1CRF3, released on June 12, 2018.
The latest build for SM-T377V, T377VVRU1CRF3, was released on June 12, 2018 (8 years ago).
SM-T377V has had no new firmware for 102 months, so regular updates have most likely ended.
Yes, all firmware files for SM-T377V are 100% official, original, and obtained directly from Samsung servers.
To flash SM-T377V, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing SM-T377V.