829483200 has 672 divisors, whose sum is σ = 3739205120. Its totient is φ = 174182400.

The previous prime is 829483169. The next prime is 829483211. The reversal of 829483200 is 2384928.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931095 + ... + 3931305.

Almost surely, 2^829483200 is an apocalyptic number.

829483200 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 829483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869602560).

829483200 is an abundant number, since it is smaller than the sum of its proper divisors (2909721920).

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

829483200 is a wasteful number, since it uses less digits than its factorization.

829483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 829483200 is about 28800.7499902346. The cubic root of 829483200 is about 939.5845455458.

The spelling of 829483200 in words is "eight hundred twenty-nine million, four hundred eighty-three thousand, two hundred".