838672000 has 256 divisors, whose sum is σ = 2268414720. Its totient is φ = 307507200.

The previous prime is 838671971. The next prime is 838672019. The reversal of 838672000 is 276838.

It is a happy number.

838672000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15823974 + ... + 15824026.

It is an arithmetic number, because the mean of its divisors is an integer number (8860995).

Almost surely, 2^838672000 is an apocalyptic number.

838672000 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 838672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134207360).

838672000 is an abundant number, since it is smaller than the sum of its proper divisors (1429742720).

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

838672000 is a wasteful number, since it uses less digits than its factorization.

838672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 838672000 is about 28959.8342536693. The cubic root of 838672000 is about 943.0413038319.

The spelling of 838672000 in words is "eight hundred thirty-eight million, six hundred seventy-two thousand".