829838000 has 80 divisors (see below), whose sum is σ = 2124667584. Its totient is φ = 312396800.

The previous prime is 829837997. The next prime is 829838011. The reversal of 829838000 is 838928.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×829838000² = 1377262212488000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21797 + ... + 46203.

Almost surely, 2^829838000 is an apocalyptic number.

829838000 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 829838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062333792).

829838000 is an abundant number, since it is smaller than the sum of its proper divisors (1294829584).

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

829838000 is a wasteful number, since it uses less digits than its factorization.

829838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24447 (or 24431 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 829838000 is about 28806.9088935276. The cubic root of 829838000 is about 939.7184912273.

The spelling of 829838000 in words is "eight hundred twenty-nine million, eight hundred thirty-eight thousand".