820080360 has 192 divisors, whose sum is σ = 2979063360. Its totient is φ = 193920000.

The previous prime is 820080347. The next prime is 820080361. The reversal of 820080360 is 63080028.

820080360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (820080361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159835 + ... + 164885.

It is an arithmetic number, because the mean of its divisors is an integer number (15515955).

Almost surely, 2^820080360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820080360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489531680).

820080360 is an abundant number, since it is smaller than the sum of its proper divisors (2158983000).

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

820080360 is a wasteful number, since it uses less digits than its factorization.

820080360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 820080360 is about 28637.0452386415. The cubic root of 820080360 is about 936.0207369940.

The spelling of 820080360 in words is "eight hundred twenty million, eighty thousand, three hundred sixty".