The figure of 8,411 days - or just over 23 years - on the panel is based on a speech Iran's supreme leader Ayatollah Ali Khamenei gave almost two years ago, in which he predicted that Israel would no longer exist in 25 years.
The ralliers chanted anti-Israel and anti-U.S. slogans and carried banners condemning Israel's continued occupation of Palestinian lands.
'Daesh (IS), America and Israel are all the same.
That day, Defense Minister Hossein Dehghan said a world without violence "is a world free from the Zionist regime" and called Israel the "root cause of all problems, violences and insecurities in the Muslim world and the entire world".
Iranian President Hassan Rouhani has said his country will not give in to United States pressure and continue to go on the path it has chosen.
Reformist sites posted videos showing hardliners shouting "down with liar" and "down with the American cleric".
In one video, Rouhani's security guards rushed him into his auto while others prevented demonstrators from approaching.
Another missile on display at the Tehran rally was the Ghadr, with a range of 2,000 kilometres (1,250 miles) that can reach both Israel and USA bases in the region.
Other videos showed First Vice President Eshaq Jahangiri and outspoken MP Ali Motahari being heckled by angry protesters. Newly re-elected moderate also President Hassan Rouhani took part in the march.
Last week, Iran's supreme leader Ayatollah Khamenei had warned those who created "polarisation" of Bani-Sadr's fate, without giving names.
The concept has since been unofficially adopted by several countries around the world, and often expresses opposition to Zionism as a whole as well as the occupation of the Palestinian Territories and the importance of Jerusalem as a holy city in Islam.