Can I run K2-Horizon-3.7B on an NVIDIA H100?

Yes

Its published weights (10.1 GB) fit in the 72.0 GB an NVIDIA H100 can use, with room for ≈ 410K tokens of context.

hf download IFM/K2-Horizon-3.7B

Files and context on NVIDIA H100

Each file of K2-Horizon-3.7B (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.

K2-Horizon-3.7B on other hardware

Popular models that run on NVIDIA H100

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.