827772 has 24 divisors (see below), whose sum is σ = 2107392. Its totient is φ = 250800.

The previous prime is 827767. The next prime is 827779. The reversal of 827772 is 277728.

It is a happy number.

827772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827779) by changing a digit.

827772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3004 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (87808).

2⁸²⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

827772 is an abundant number, since it is smaller than the sum of its proper divisors (1279620).

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

827772 is a wasteful number, since it uses less digits than its factorization.

827772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6287 counting only the distinct ones).

The product of its digits is 10976, while the sum is 33.

The square root of 827772 is about 909.8197623705. The cubic root of 827772 is about 93.8937988762.

The spelling of 827772 in words is "eight hundred twenty-seven thousand, seven hundred seventy-two".