8870400 has 360 divisors, whose sum is σ = 39577824. Its totient is φ = 1843200.

The previous prime is 8870399. The next prime is 8870401. The reversal of 8870400 is 40788.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8870399) and next prime (8870401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8870401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806395 + ... + 806405.

Almost surely, 2^8870400 is an apocalyptic number.

8870400 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 8870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788912).

8870400 is an abundant number, since it is smaller than the sum of its proper divisors (30707424).

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

8870400 is a wasteful number, since it uses less digits than its factorization.

8870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8870400 is about 2978.3216750378. The cubic root of 8870400 is about 207.0051108449.

8870400 divided by its product of nonzero digits (1792) gives a triangular number (4950 = T₉₉).

The spelling of 8870400 in words is "eight million, eight hundred seventy thousand, four hundred".