You can publish content in batch.
Note: Only for content that are 'unpublished'
The steps are
With below interface
Pick relevant content
1. From content list, filter 'Approved status' ('Approved' in this example)
2. Check relevant content on left hand side
Set status to 'Published'
3. Choose 'Update Publishing Status'
4. Choose 'Published'
The batch job will be set in action.
In case there is any error, you will be prompted.