820784796 has 96 divisors (see below), whose sum is σ = 2143659840. Its totient is φ = 242694144.

The previous prime is 820784791. The next prime is 820784807. The reversal of 820784796 is 697487028.

820784796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820784791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795800 + ... + 1796256.

It is an arithmetic number, because the mean of its divisors is an integer number (22329790).

Almost surely, 2^820784796 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 820784796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071829920).

820784796 is an abundant number, since it is smaller than the sum of its proper divisors (1322875044).

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

820784796 is a wasteful number, since it uses less digits than its factorization.

820784796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 820784796 is about 28649.3419819723. The cubic root of 820784796 is about 936.2886692727.

The spelling of 820784796 in words is "eight hundred twenty million, seven hundred eighty-four thousand, seven hundred ninety-six".