838321680 has 320 divisors, whose sum is σ = 3181939200. Its totient is φ = 178225152.

The previous prime is 838321661. The next prime is 838321681. The reversal of 838321680 is 86123838.

838321680 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 (838321681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255342 + ... + 4255538.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2^838321680 is an apocalyptic number.

838321680 is a gapful number since it is divisible by the number (80) 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 838321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

838321680 is an abundant number, since it is smaller than the sum of its proper divisors (2343617520).

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

838321680 is a wasteful number, since it uses less digits than its factorization.

838321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 838321680 is about 28953.7852447655. The cubic root of 838321680 is about 942.9099802477.

The spelling of 838321680 in words is "eight hundred thirty-eight million, three hundred twenty-one thousand, six hundred eighty".