Cut out the woe is me routine. The claim that 330 million deities is a little hard to take seriously is a very reasonable stance. Your response should have been that you do not in fact believe this and shown me something that backs that up. When a former Hindu and one of the greatest philosophers in history says that there are 330 million God's in Hinduism it is anything but a certainty that that is not in fact the case. There was no mockery and I resent the implication. Instead of an appeal to sympathy, a cogent rebuttal would have been far more meaningful. How has the world gone from going to the moon, overcoming terrible odds, and conquering all frontiers to whining every time someone says something we don't agree with?
Hinduism is purely a polythiestic religion, don't believe in others who say there is only one God, Hinduism definitely doesn't accept that, those Hindus who say there is only one God don't really know their religion.
Devas in the Vedas
Main article: Rigvedic deities
The main devas are (vide 6th anuvaka of Chamakam): Aditya, Agni, Antariksha, Ashwinis, Brahma, Brihaspati, Dishas, Dyaus, Indra, Ganesha, Marutas, Mitra, Mitravaruna, Moordha, Prajapati, Prithvi, Pusha, Rudra, Savitr, Shiva, Soma, Varuna, Vayu, Vishnu, and Vishvedavas.
These are the official Hindu deities and they all exists.
The Thirty-three gods is a pantheon of Hindu deities, some of Vedic origin and some developed later. It generally includes a set of 31 deities consisting of 12 Ādityas, 11 Rudras, and 8 Vasus; the identity of the other two deities that fill out the 33 varies, though their roles are generally a creator deity, presiding over procreation and protector of life and the 33rd is an all powerful supreme ruler.
The 31 are:
Twelve Ādityas (personified deities) Mitra, Aryaman, Bhaga, Varuṇa, Dakṣa, Aṃśa, Tvāṣṭṛ, Pūṣan, Vivasvat, Savitṛ, Śakra, Viṣṇu. This list sometimes varies in particulars.
Eleven Rudras, consisting of:
Five abstractions Ānanda "bliss", Vijñāna "knowledge", Manas "thought", Prāṇa "breath" or "life", Vāc "speech",
Five names of Śiva Īśāna "ruler", Tatpuruṣa "that person", Aghora "not terrible", Vāmadeva "pleasant god", Sadyojāta "born at once"
Ātmā "self"
Eight Vasus (deities of material elements) Pṛthivī "Earth", Agni "Fire", Antarikṣa "Atmosphere", Vāyu "Wind", Dyauṣ "Sky", Sūrya "Sun", Nakṣatra "Stars", Soma "Moon"
Other sources like the Vedas include the two Aśvins (or Nāsatyas), twin solar deities.
Indra also called Śakra, lord of the gods, is the First of the 33 followed by Agni
Prajāpati "Master of creatures", the creator [Prajāpati "Master of creatures", the creator is Brahma who resides over the thirty three.]
The generic title, though not the particular names of the deities, was borrowed in Buddhist sources as a name for the heaven "of the Thirty-three gods" (Trāyastriṃśa).
The official number is 33 gods not 330 million.