821727888 has 80 divisors (see below), whose sum is σ = 2159861760. Its totient is φ = 269164672.

The previous prime is 821727887. The next prime is 821727911. The reversal of 821727888 is 888727128.

It is a self number, because there is not a number n which added to its sum of digits gives 821727888.

It is not an unprimeable number, because it can be changed into a prime (821727887) 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 15 ways as a sum of consecutive naturals, for example, 951745 + ... + 952607.

It is an arithmetic number, because the mean of its divisors is an integer number (26998272).

Almost surely, 2^821727888 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 821727888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

821727888 is an abundant number, since it is smaller than the sum of its proper divisors (1338133872).

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

821727888 is a wasteful number, since it uses less digits than its factorization.

821727888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its digits is 802816, while the sum is 51.

The square root of 821727888 is about 28665.7964829167. The cubic root of 821727888 is about 936.6471344793.

The spelling of 821727888 in words is "eight hundred twenty-one million, seven hundred twenty-seven thousand, eight hundred eighty-eight".