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Can I run EXAONE-3.5-7.8B-Instruct-AWQ on an RTX 4060?

Yes

Its published weights (5.30 GB) fit in the 7.20 GB an RTX 4060 can use, with room for ≈ 14K tokens of context.

Full analysis of EXAONE-3.5-7.8B-Instruct-AWQ Everything that runs on RTX 4060 Get the weights on Hugging Face
hf download LGAI-EXAONE/EXAONE-3.5-7.8B-Instruct-AWQ

Files and context on RTX 4060

Each file of EXAONE-3.5-7.8B-Instruct-AWQ (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn RTX 4060 Context (16-bit)Context (8-bit)
As published5.30 GBFits14K28K
4-bit (estimate)4.40 GBFits21K32K

EXAONE-3.5-7.8B-Instruct-AWQ on other hardware

Popular models that run on RTX 4060

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.