870400 has 72 divisors (see below), whose sum is σ = 2285010. Its totient is φ = 327680.

The previous prime is 870391. The next prime is 870403. The reversal of 870400 is 4078.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 123904 = 864^2 + 352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870403) by changing a digit.

870400 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51192 + ... + 51208.

2⁸⁷⁰⁴⁰⁰ is an apocalyptic number.

870400 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 870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142505).

870400 is an abundant number, since it is smaller than the sum of its proper divisors (1414610).

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

870400 is a wasteful number, since it uses less digits than its factorization.

870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 870400 is about 932.9523031752. The cubic root of 870400 is about 95.4786553542.

Adding to 870400 its reverse (4078), we get a palindrome (874478).

The spelling of 870400 in words is "eight hundred seventy thousand, four hundred".