838530000 has 600 divisors, whose sum is σ = 3686270016. Its totient is φ = 174240000.

The previous prime is 838529999. The next prime is 838530019. The reversal of 838530000 is 35838.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76229995 + ... + 76230005.

Almost surely, 2^838530000 is an apocalyptic number.

838530000 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 838530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843135008).

838530000 is an abundant number, since it is smaller than the sum of its proper divisors (2847740016).

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

838530000 is a wasteful number, since it uses less digits than its factorization.

838530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 838530000 is about 28957.3824783940. The cubic root of 838530000 is about 942.9880770545.

Adding to 838530000 its reverse (35838), we get a palindrome (838565838).

The spelling of 838530000 in words is "eight hundred thirty-eight million, five hundred thirty thousand".