827993772 has 192 divisors, whose sum is σ = 2368880640. Its totient is φ = 249080832.

The previous prime is 827993737. The next prime is 827993773. The reversal of 827993772 is 277399728.

827993772 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 (54).

It is not an unprimeable number, because it can be changed into a prime (827993773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6519573 + ... + 6519699.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2^827993772 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 827993772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184440320).

827993772 is an abundant number, since it is smaller than the sum of its proper divisors (1540886868).

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

827993772 is a wasteful number, since it uses less digits than its factorization.

827993772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 827993772 is about 28774.8809206919. The cubic root of 827993772 is about 939.0218329295.

The spelling of 827993772 in words is "eight hundred twenty-seven million, nine hundred ninety-three thousand, seven hundred seventy-two".