The "orange culture" can be summarised thus; Get the employees to work as hard as possible whilst at all times seeking to reduce the costs associated with them (Pretty much what every company out there wants to do all the time lets be honest). Attempt to add depth to this by printing large words on crew room walls & company literature; "Integrity", "Honesty", "Dynamic", "Pioneering" etc etc.
It always makes me smile when companies use all this corporate mumbo jumbo (which company doesn't want to profess it has integrity?!). There's often a huge disconnect between the stated culture and the actual culture.
It's hardly limited to easyJet either. There are few companies that, behind closed doors, really commit to their lofty principles and mission statements.