838848000 has 320 divisors, whose sum is σ = 2964506688. Its totient is φ = 209715200.

The previous prime is 838847993. The next prime is 838848001. The reversal of 838848000 is 848838.

It is a tau number, because it is divible by the number of its divisors (320).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 838848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838848001) 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, 3263872 + ... + 3264128.

Almost surely, 2^838848000 is an apocalyptic number.

838848000 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 838848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482253344).

838848000 is an abundant number, since it is smaller than the sum of its proper divisors (2125658688).

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

838848000 is a wasteful number, since it uses less digits than its factorization.

838848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 838848000 is about 28962.8727856889. The cubic root of 838848000 is about 943.1072667115.

The spelling of 838848000 in words is "eight hundred thirty-eight million, eight hundred forty-eight thousand".