827825300 has 36 divisors (see below), whose sum is σ = 1858331580. Its totient is φ = 319710720.

The previous prime is 827825291. The next prime is 827825311. The reversal of 827825300 is 3528728.

It is a happy number.

827825300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 917764 + 826907536 = 958^2 + 28756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139829 + ... + 145628.

Almost surely, 2^827825300 is an apocalyptic number.

It is an amenable number.

827825300 is an abundant number, since it is smaller than the sum of its proper divisors (1030506280).

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

827825300 is a wasteful number, since it uses less digits than its factorization.

827825300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285500 (or 285493 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 827825300 is about 28771.9533573930. The cubic root of 827825300 is about 938.9581409782.

The spelling of 827825300 in words is "eight hundred twenty-seven million, eight hundred twenty-five thousand, three hundred".