820808480 has 48 divisors (see below), whose sum is σ = 1941335424. Its totient is φ = 327955200.

The previous prime is 820808473. The next prime is 820808519. The reversal of 820808480 is 84808028.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174155 + ... + 178805.

It is an arithmetic number, because the mean of its divisors is an integer number (40444488).

Almost surely, 2^820808480 is an apocalyptic number.

820808480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820808480 is an abundant number, since it is smaller than the sum of its proper divisors (1120526944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820808480 is a wasteful number, since it uses less digits than its factorization.

820808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 820808480 is about 28649.7553218173. The cubic root of 820808480 is about 936.2976748195.

The spelling of 820808480 in words is "eight hundred twenty million, eight hundred eight thousand, four hundred eighty".