827240672 has 96 divisors (see below), whose sum is σ = 1798487712. Its totient is φ = 372916224.

The previous prime is 827240669. The next prime is 827240683. The reversal of 827240672 is 276042728.

It is a happy number.

It is a super-3 number, since 3×827240672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 15 ways as a sum of consecutive naturals, for example, 1469063 + ... + 1469625.

It is an arithmetic number, because the mean of its divisors is an integer number (18734247).

Almost surely, 2^827240672 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 827240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899243856).

827240672 is an abundant number, since it is smaller than the sum of its proper divisors (971247040).

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

827240672 is a wasteful number, since it uses less digits than its factorization.

827240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 827240672 is about 28761.7918774196. The cubic root of 827240672 is about 938.7370514578.

The spelling of 827240672 in words is "eight hundred twenty-seven million, two hundred forty thousand, six hundred seventy-two".