827707080 has 64 divisors (see below), whose sum is σ = 2491997760. Its totient is φ = 219932928.

The previous prime is 827707039. The next prime is 827707147. The reversal of 827707080 is 80707728.

827707080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21774 + ... + 46146.

It is an arithmetic number, because the mean of its divisors is an integer number (38937465).

Almost surely, 2^827707080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827707080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245998880).

827707080 is an abundant number, since it is smaller than the sum of its proper divisors (1664290680).

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

827707080 is a wasteful number, since it uses less digits than its factorization.

827707080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24670 (or 24666 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The square root of 827707080 is about 28769.8988527940. The cubic root of 827707080 is about 938.9134419674.

The spelling of 827707080 in words is "eight hundred twenty-seven million, seven hundred seven thousand, eighty".