Can you give a Django app a verbose name for use throughout the admin?

Django 1.8+

Per the 1.8 docs (and current docs),

New applications should avoid default_app_config. Instead they should require the dotted path to the appropriate AppConfig subclass to be configured explicitly in INSTALLED_APPS.

Example:

INSTALLED_APPS = [
    # ...snip...
    'yourapp.apps.YourAppConfig',
]

Then alter your AppConfig as listed below.

Django 1.7

As stated by rhunwicks' comment to OP, this is now possible out of the box since Django 1.7

Taken from the docs:

# in yourapp/apps.py
from django.apps import AppConfig

class YourAppConfig(AppConfig):
    name = 'yourapp'
    verbose_name = 'Fancy Title'

then set the default_app_config variable to YourAppConfig

# in yourapp/__init__.py
default_app_config = 'yourapp.apps.YourAppConfig'

Prior to Django 1.7

You can give your application a custom name by defining app_label in your model definition. But as django builds the admin page it will hash models by their app_label, so if you want them to appear in one application, you have to define this name in all models of your application.

class MyModel(models.Model):
        pass
    class Meta:
        app_label = 'My APP name'

As stated by rhunwicks' comment to OP, this is now possible out of the box since Django 1.7

Taken from the docs:

# in yourapp/apps.py
from django.apps import AppConfig

class YourAppConfig(AppConfig):
    name = 'yourapp'
    verbose_name = 'Fancy Title'

then set the default_app_config variable to YourAppConfig

# in yourapp/__init__.py
default_app_config = 'yourapp.apps.YourAppConfig'

If you have more than one model in the app just create a model with the Meta information and create subclasses of that class for all your models.

class MyAppModel(models.Model):
    class Meta:
        app_label = 'My App Label'
        abstract = True

class Category(MyAppModel):
     name = models.CharField(max_length=50)