838942720 has 360 divisors, whose sum is σ = 2689515360. Its totient is φ = 247726080.

The previous prime is 838942717. The next prime is 838942751. The reversal of 838942720 is 27249838.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44154871 + ... + 44154889.

It is an arithmetic number, because the mean of its divisors is an integer number (7470876).

Almost surely, 2^838942720 is an apocalyptic number.

838942720 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 838942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344757680).

838942720 is an abundant number, since it is smaller than the sum of its proper divisors (1850572640).

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

838942720 is a wasteful number, since it uses less digits than its factorization.

838942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 838942720 is about 28964.5079364383. The cubic root of 838942720 is about 943.1427629151.

The spelling of 838942720 in words is "eight hundred thirty-eight million, nine hundred forty-two thousand, seven hundred twenty".