827121700 has 72 divisors (see below), whose sum is σ = 1866693024. Its totient is φ = 317856000.

The previous prime is 827121697. The next prime is 827121707. The reversal of 827121700 is 7121728.

It is a super-2 number, since 2×827121700² = 1368260613221780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827121707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273195 + ... + 276205.

It is an arithmetic number, because the mean of its divisors is an integer number (25926292).

Almost surely, 2^827121700 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 827121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933346512).

827121700 is an abundant number, since it is smaller than the sum of its proper divisors (1039571324).

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

827121700 is a wasteful number, since it uses less digits than its factorization.

827121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 827121700 is about 28759.7235730805. The cubic root of 827121700 is about 938.6920469093.

Adding to 827121700 its sum of digits (28), we get a palindrome (827121728).

The spelling of 827121700 in words is "eight hundred twenty-seven million, one hundred twenty-one thousand, seven hundred".