827500000 has 96 divisors (see below), whose sum is σ = 2042572896. Its totient is φ = 330000000.

The previous prime is 827499997. The next prime is 827500013. The reversal of 827500000 is 5728.

It is a congruent number.

It is an unprimeable number.

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, 2499835 + ... + 2500165.

It is an arithmetic number, because the mean of its divisors is an integer number (21276801).

Almost surely, 2^827500000 is an apocalyptic number.

827500000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021286448).

827500000 is an abundant number, since it is smaller than the sum of its proper divisors (1215072896).

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

827500000 is an frugal number, since it uses more digits than its factorization.

827500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 827500000 is about 28766.2997272851. The cubic root of 827500000 is about 938.8351347107.

Adding to 827500000 its reverse (5728), we get a palindrome (827505728).

The spelling of 827500000 in words is "eight hundred twenty-seven million, five hundred thousand".