872400 has 60 divisors (see below), whose sum is σ = 2798432. Its totient is φ = 232320.

The previous prime is 872393. The next prime is 872411. The reversal of 872400 is 4278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×872400² = 1522163520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

872400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 837 + ... + 1563.

2⁸⁷²⁴⁰⁰ is an apocalyptic number.

872400 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 872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399216).

872400 is an abundant number, since it is smaller than the sum of its proper divisors (1926032).

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

872400 is a wasteful number, since it uses less digits than its factorization.

872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 872400 is about 934.0235543068. The cubic root of 872400 is about 95.5517295105.

Adding to 872400 its reverse (4278), we get a palindrome (876678).

The spelling of 872400 in words is "eight hundred seventy-two thousand, four hundred".