827280870768 has 120 divisors (see below), whose sum is σ = 2567119007856. Its totient is φ = 246581452800.

The previous prime is 827280870743. The next prime is 827280870769. The reversal of 827280870768 is 867078082728.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827280870769) 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 23 ways as a sum of consecutive naturals, for example, 4184305 + ... + 4377552.

Almost surely, 2^827280870768 is an apocalyptic number.

827280870768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827280870768 is an abundant number, since it is smaller than the sum of its proper divisors (1739838137088).

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

827280870768 is a wasteful number, since it uses less digits than its factorization.

827280870768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561943 (or 8561934 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 827280870768 in words is "eight hundred twenty-seven billion, two hundred eighty million, eight hundred seventy thousand, seven hundred sixty-eight".