838812000 has 384 divisors, whose sum is σ = 3126090240. Its totient is φ = 194918400.

The previous prime is 838811999. The next prime is 838812053. The reversal of 838812000 is 218838.

838812000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963859 + ... + 2964141.

It is an arithmetic number, because the mean of its divisors is an integer number (8140860).

Almost surely, 2^838812000 is an apocalyptic number.

838812000 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 838812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563045120).

838812000 is an abundant number, since it is smaller than the sum of its proper divisors (2287278240).

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

838812000 is a wasteful number, since it uses less digits than its factorization.

838812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 838812000 is about 28962.2512937099. The cubic root of 838812000 is about 943.0937750550.

The spelling of 838812000 in words is "eight hundred thirty-eight million, eight hundred twelve thousand".