827130150 has 384 divisors, whose sum is σ = 2906956800. Its totient is φ = 167961600.

The previous prime is 827130113. The next prime is 827130151. The reversal of 827130150 is 51031728.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827130151) 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 191 ways as a sum of consecutive naturals, for example, 7588296 + ... + 7588404.

It is an arithmetic number, because the mean of its divisors is an integer number (7570200).

Almost surely, 2^827130150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827130150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453478400).

827130150 is an abundant number, since it is smaller than the sum of its proper divisors (2079826650).

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

827130150 is a wasteful number, since it uses less digits than its factorization.

827130150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 827130150 is about 28759.8704795415. The cubic root of 827130150 is about 938.6952435049.

Adding to 827130150 its reverse (51031728), we get a palindrome (878161878).

The spelling of 827130150 in words is "eight hundred twenty-seven million, one hundred thirty thousand, one hundred fifty".