"Each node in Hashgraph can disseminate sealed information (called events) about transactions created and transactions received from others, to other nodes chosen at random, these nodes will add the received events with the information received from other nodes in a new event, and then They will send to other nodes chosen at random, this process continues until all the nodes know the information created or received at the beginning, and the new information can reach each node of the network in a very fast way.
Fast: 250,000 transactions per second. (7 transactions / second in BItcoin)
More just: Better mathematical configuration (with 2/3 of the network the transaction is validated). For example, a miner could NOT decide which transaction to "make" before due to the higher fee payment.
More secure: It is asynchronous. Nobody can avoid reaching a consensus or trying to interrupt one that has already been reached.
Efficient: No new block can become obsolete.
Less storage: Allows if an event occurs, everyone knows it in minutes, and only the transaction is saved, everything else goes straight to the trash.
Less electricity costs: As they do not rely on PoW (work proof), there are no miners nor would that amount of electricity be consumed. "
This is a bit of the information I found about it.