782027838228 has 96 divisors (see below), whose sum is σ = 2246964572160. Its totient is φ = 206144311680.

The previous prime is 782027838127. The next prime is 782027838239. The reversal of 782027838228 is 822838720287.

It is a happy number.

782027838228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×782027838228² (a number of 25 digits) contains 22 as substring.

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, 1980133 + ... + 2342003.

It is an arithmetic number, because the mean of its divisors is an integer number (23405880960).

Almost surely, 2^782027838228 is an apocalyptic number.

782027838228 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 782027838228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123482286080).

782027838228 is an abundant number, since it is smaller than the sum of its proper divisors (1464936733932).

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

782027838228 is a wasteful number, since it uses less digits than its factorization.

782027838228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363877 (or 363875 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 782027838228 in words is "seven hundred eighty-two billion, twenty-seven million, eight hundred thirty-eight thousand, two hundred twenty-eight".