872331400 has 48 divisors (see below), whose sum is σ = 2037369600. Its totient is φ = 347350080.

The previous prime is 872331391. The next prime is 872331437. The reversal of 872331400 is 4133278.

It is a super-3 number, since 3×872331400³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34821 + ... + 54379.

It is an arithmetic number, because the mean of its divisors is an integer number (42445200).

Almost surely, 2^872331400 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 872331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018684800).

872331400 is an abundant number, since it is smaller than the sum of its proper divisors (1165038200).

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

872331400 is a wasteful number, since it uses less digits than its factorization.

872331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19798 (or 19789 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 872331400 is about 29535.2568974776. The cubic root of 872331400 is about 955.4922491762.

Adding to 872331400 its reverse (4133278), we get a palindrome (876464678).

The spelling of 872331400 in words is "eight hundred seventy-two million, three hundred thirty-one thousand, four hundred".