827936760 has 64 divisors (see below), whose sum is σ = 2838643200. Its totient is φ = 189242496.

The previous prime is 827936729. The next prime is 827936779. The reversal of 827936760 is 67639728.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 491980 + ... + 493659.

It is an arithmetic number, because the mean of its divisors is an integer number (44353800).

Almost surely, 2^827936760 is an apocalyptic number.

It is an amenable number.

827936760 is an abundant number, since it is smaller than the sum of its proper divisors (2010706440).

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

827936760 is a wasteful number, since it uses less digits than its factorization.

827936760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985660 (or 985656 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 827936760 is about 28773.8902479314. The cubic root of 827936760 is about 939.0002801339. Note that the first 3 decimals are identical.

The spelling of 827936760 in words is "eight hundred twenty-seven million, nine hundred thirty-six thousand, seven hundred sixty".