788082828 has 72 divisors (see below), whose sum is σ = 2016806400. Its totient is φ = 239368896.

The previous prime is 788082803. The next prime is 788082829. The reversal of 788082828 is 828280887.

788082828 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 (788082829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157753 + ... + 162671.

It is an arithmetic number, because the mean of its divisors is an integer number (28011200).

Almost surely, 2^788082828 is an apocalyptic number.

788082828 is a gapful number since it is divisible by the number (78) 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 788082828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008403200).

788082828 is an abundant number, since it is smaller than the sum of its proper divisors (1228723572).

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

788082828 is a wasteful number, since it uses less digits than its factorization.

788082828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The square root of 788082828 is about 28072.8129691344. The cubic root of 788082828 is about 923.6851356860.

The spelling of 788082828 in words is "seven hundred eighty-eight million, eighty-two thousand, eight hundred twenty-eight".