829422000 has 480 divisors, whose sum is σ = 3259077120. Its totient is φ = 194880000.

The previous prime is 829421951. The next prime is 829422001. The reversal of 829422000 is 224928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829422001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11681965 + ... + 11682035.

It is an arithmetic number, because the mean of its divisors is an integer number (6789744).

Almost surely, 2^829422000 is an apocalyptic number.

829422000 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 829422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629538560).

829422000 is an abundant number, since it is smaller than the sum of its proper divisors (2429655120).

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

829422000 is a wasteful number, since it uses less digits than its factorization.

829422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 829422000 is about 28799.6874983046. The cubic root of 829422000 is about 939.5614371862.

Adding to 829422000 its reverse (224928), we get a palindrome (829646928).

The spelling of 829422000 in words is "eight hundred twenty-nine million, four hundred twenty-two thousand".