827766 has 16 divisors (see below), whose sum is σ = 1839600. Its totient is φ = 275904.

The previous prime is 827741. The next prime is 827767. The reversal of 827766 is 667728.

827766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 8 + 2⁹ + 7⁴ + 7⁷ + 6 + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 827766.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827766.

It is not an unprimeable number, because it can be changed into a prime (827767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7611 + ... + 7718.

It is an arithmetic number, because the mean of its divisors is an integer number (114975).

2⁸²⁷⁷⁶⁶ is an apocalyptic number.

827766 is an abundant number, since it is smaller than the sum of its proper divisors (1011834).

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

827766 is a wasteful number, since it uses less digits than its factorization.

827766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15340 (or 15334 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 827766 is about 909.8164650082. The cubic root of 827766 is about 93.8935720166.

The spelling of 827766 in words is "eight hundred twenty-seven thousand, seven hundred sixty-six".