829045800 has 384 divisors, whose sum is σ = 3302467200. Its totient is φ = 188928000.

The previous prime is 829045799. The next prime is 829045801. The reversal of 829045800 is 8540928.

It is an interprime number because it is at equal distance from previous prime (829045799) and next prime (829045801).

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

It is not an unprimeable number, because it can be changed into a prime (829045801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009390 + ... + 1010210.

It is an arithmetic number, because the mean of its divisors is an integer number (8600175).

Almost surely, 2^829045800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651233600).

829045800 is an abundant number, since it is smaller than the sum of its proper divisors (2473421400).

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

829045800 is a wasteful number, since it uses less digits than its factorization.

829045800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 829045800 is about 28793.1554366658. The cubic root of 829045800 is about 939.4193637639.

The spelling of 829045800 in words is "eight hundred twenty-nine million, forty-five thousand, eight hundred".