875532000 has 288 divisors, whose sum is σ = 3338768160. Its totient is φ = 199987200.

The previous prime is 875531971. The next prime is 875532019. The reversal of 875532000 is 235578.

It is a happy number.

875532000 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 (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587256 + ... + 588744.

It is an arithmetic number, because the mean of its divisors is an integer number (11592945).

Almost surely, 2^875532000 is an apocalyptic number.

875532000 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 875532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669384080).

875532000 is an abundant number, since it is smaller than the sum of its proper divisors (2463236160).

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

875532000 is a wasteful number, since it uses less digits than its factorization.

875532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 875532000 is about 29589.3899903327. The cubic root of 875532000 is about 956.6593958070.

Adding to 875532000 its reverse (235578), we get a palindrome (875767578).

It can be divided in two parts, 8755 and 32000, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 875532000 in words is "eight hundred seventy-five million, five hundred thirty-two thousand".