827259940 has 48 divisors (see below), whose sum is σ = 1877658048. Its totient is φ = 304343424.

The previous prime is 827259919. The next prime is 827259947. The reversal of 827259940 is 49952728.

827259940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (827259947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67959 + ... + 79201.

It is an arithmetic number, because the mean of its divisors is an integer number (39117876).

Almost surely, 2^827259940 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 827259940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938829024).

827259940 is an abundant number, since it is smaller than the sum of its proper divisors (1050398108).

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

827259940 is a wasteful number, since it uses less digits than its factorization.

827259940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548 (or 11546 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 827259940 is about 28762.1268337375. The cubic root of 827259940 is about 938.7443397218.

It can be divided in two parts, 82725 and 9940, that added together give a triangular number (92665 = T₄₃₀).

The spelling of 827259940 in words is "eight hundred twenty-seven million, two hundred fifty-nine thousand, nine hundred forty".