12878400 has 84 divisors (see below), whose sum is σ = 42267632. Its totient is φ = 3432960.

The previous prime is 12878377. The next prime is 12878431. The reversal of 12878400 is 487821.

It is a super-3 number, since 3×12878400³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3459 + ... + 6141.

Almost surely, 2^12878400 is an apocalyptic number.

12878400 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 12878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21133816).

12878400 is an abundant number, since it is smaller than the sum of its proper divisors (29389232).

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

12878400 is a wasteful number, since it uses less digits than its factorization.

12878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12878400 is about 3588.6487707771. The cubic root of 12878400 is about 234.3980368467.

The spelling of 12878400 in words is "twelve million, eight hundred seventy-eight thousand, four hundred".