827753742 has 48 divisors (see below), whose sum is σ = 1874675712. Its totient is φ = 273724920.

The previous prime is 827753687. The next prime is 827753747. The reversal of 827753742 is 247357728.

827753742 is a `hidden beast` number, since 8 + 2 + 77 + 537 + 42 = 666.

It is a super-3 number, since 3×827753742³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827753747) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55017 + ... + 68427.

It is an arithmetic number, because the mean of its divisors is an integer number (39055744).

Almost surely, 2^827753742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827753742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937337856).

827753742 is an abundant number, since it is smaller than the sum of its proper divisors (1046921970).

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

827753742 is a wasteful number, since it uses less digits than its factorization.

827753742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555 (or 13543 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 827753742 is about 28770.7097931212. The cubic root of 827753742 is about 938.9310853894.

The spelling of 827753742 in words is "eight hundred twenty-seven million, seven hundred fifty-three thousand, seven hundred forty-two".