820582788704 has 192 divisors, whose sum is σ = 1903450171392. Its totient is φ = 340996608000.

The previous prime is 820582788691. The next prime is 820582788721. The reversal of 820582788704 is 407887285028.

It is a super-3 number, since 3×820582788704³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282665717 + ... + 282668619.

It is an arithmetic number, because the mean of its divisors is an integer number (9913802976).

Almost surely, 2^820582788704 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 820582788704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951725085696).

820582788704 is an abundant number, since it is smaller than the sum of its proper divisors (1082867382688).

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

820582788704 is a wasteful number, since it uses less digits than its factorization.

820582788704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 16056320, while the sum is 59.

The spelling of 820582788704 in words is "eight hundred twenty billion, five hundred eighty-two million, seven hundred eighty-eight thousand, seven hundred four".