827680820 has 24 divisors (see below), whose sum is σ = 1740972744. Its totient is φ = 330530816.

The previous prime is 827680801. The next prime is 827680837. The reversal of 827680820 is 28086728.

It can be written as a sum of positive squares in 4 ways, for example, as 64705936 + 762974884 = 8044^2 + 27622^2 .

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 7 ways as a sum of consecutive naturals, for example, 21197 + ... + 45876.

It is an arithmetic number, because the mean of its divisors is an integer number (72540531).

Almost surely, 2^827680820 is an apocalyptic number.

It is an amenable number.

827680820 is an abundant number, since it is smaller than the sum of its proper divisors (913291924).

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

827680820 is a wasteful number, since it uses less digits than its factorization.

827680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67699 (or 67697 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 827680820 is about 28769.4424693980. The cubic root of 827680820 is about 938.9035124773.

The spelling of 827680820 in words is "eight hundred twenty-seven million, six hundred eighty thousand, eight hundred twenty".