829033920 has 672 divisors, whose sum is σ = 3518733120. Its totient is φ = 182476800.

The previous prime is 829033889. The next prime is 829033921. The reversal of 829033920 is 29330928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829033921) 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, 13590690 + ... + 13590750.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2^829033920 is an apocalyptic number.

829033920 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 829033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759366560).

829033920 is an abundant number, since it is smaller than the sum of its proper divisors (2689699200).

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

829033920 is a wasteful number, since it uses less digits than its factorization.

829033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 829033920 is about 28792.9491368981. The cubic root of 829033920 is about 939.4148765348.

The spelling of 829033920 in words is "eight hundred twenty-nine million, thirty-three thousand, nine hundred twenty".