820342080 has 140 divisors (see below), whose sum is σ = 2918193300. Its totient is φ = 218750976.

The previous prime is 820342073. The next prime is 820342097. The reversal of 820342080 is 80243028.

It can be written as a sum of positive squares in 2 ways, for example, as 524226816 + 296115264 = 22896^2 + 17208^2 .

It is a super-2 number, since 2×820342080² = 1345922256437452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10096 + ... + 41744.

Almost surely, 2^820342080 is an apocalyptic number.

820342080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459096650).

820342080 is an abundant number, since it is smaller than the sum of its proper divisors (2097851220).

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

820342080 is a wasteful number, since it uses less digits than its factorization.

820342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31678 (or 31659 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 820342080 is about 28641.6144796343. The cubic root of 820342080 is about 936.1203001195.

The spelling of 820342080 in words is "eight hundred twenty million, three hundred forty-two thousand, eighty".