825729300 has 108 divisors (see below), whose sum is σ = 2823527616. Its totient is φ = 200174400.

The previous prime is 825729293. The next prime is 825729313. The reversal of 825729300 is 3927528.

It is a happy number.

825729300 is a `hidden beast` number, since 82 + 572 + 9 + 3 + 0 + 0 = 666.

825729300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 31804 + ... + 51603.

Almost surely, 2^825729300 is an apocalyptic number.

It is an amenable number.

825729300 is an abundant number, since it is smaller than the sum of its proper divisors (1997798316).

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

825729300 is a wasteful number, since it uses less digits than its factorization.

825729300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83438 (or 83428 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 825729300 is about 28735.5059116766. The cubic root of 825729300 is about 938.1650108331.

The spelling of 825729300 in words is "eight hundred twenty-five million, seven hundred twenty-nine thousand, three hundred".