10878400 has 84 divisors (see below), whose sum is σ = 28881832. Its totient is φ = 4008960.

The previous prime is 10878389. The next prime is 10878403. The reversal of 10878400 is 487801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10878403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20539 + ... + 21061.

Almost surely, 2^10878400 is an apocalyptic number.

10878400 is a gapful number since it is divisible by the number (10) 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 10878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440916).

10878400 is an abundant number, since it is smaller than the sum of its proper divisors (18003432).

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

10878400 is a wasteful number, since it uses less digits than its factorization.

10878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 10878400 is about 3298.2419559517. The cubic root of 10878400 is about 221.5754676627.

The spelling of 10878400 in words is "ten million, eight hundred seventy-eight thousand, four hundred".