838807872 has 224 divisors, whose sum is σ = 2652979200. Its totient is φ = 233694720.

The previous prime is 838807843. The next prime is 838807873. The reversal of 838807872 is 278708838.

It is a happy number.

838807872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×838807872² = 1407197292258336768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838807873) 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, 3095097 + ... + 3095367.

Almost surely, 2^838807872 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 838807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326489600).

838807872 is an abundant number, since it is smaller than the sum of its proper divisors (1814171328).

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

838807872 is a wasteful number, since it uses less digits than its factorization.

838807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 838807872 is about 28962.1800284440. The cubic root of 838807872 is about 943.0922279870.

The spelling of 838807872 in words is "eight hundred thirty-eight million, eight hundred seven thousand, eight hundred seventy-two".