829880100 has 288 divisors, whose sum is σ = 3210905600. Its totient is φ = 179625600.

The previous prime is 829880099. The next prime is 829880101. The reversal of 829880100 is 1088928.

It is an interprime number because it is at equal distance from previous prime (829880099) and next prime (829880101).

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 (829880101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357945 + ... + 360255.

Almost surely, 2^829880100 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 829880100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605452800).

829880100 is an abundant number, since it is smaller than the sum of its proper divisors (2381025500).

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

829880100 is a wasteful number, since it uses less digits than its factorization.

829880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 829880100 is about 28807.6396117419. The cubic root of 829880100 is about 939.7343824733.

The spelling of 829880100 in words is "eight hundred twenty-nine million, eight hundred eighty thousand, one hundred".