820348080 has 40 divisors (see below), whose sum is σ = 2543079792. Its totient is φ = 218759424.

The previous prime is 820348057. The next prime is 820348097. The reversal of 820348080 is 80843028.

It is a tau number, because it is divible by the number of its divisors (40).

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, 1708819 + ... + 1709298.

Almost surely, 2^820348080 is an apocalyptic number.

820348080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820348080 is an abundant number, since it is smaller than the sum of its proper divisors (1722731712).

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

820348080 is a wasteful number, since it uses less digits than its factorization.

820348080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418133 (or 3418127 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 820348080 is about 28641.7192221417. The cubic root of 820348080 is about 936.1225823821.

The spelling of 820348080 in words is "eight hundred twenty million, three hundred forty-eight thousand, eighty".