123878400 has 132 divisors (see below), whose sum is σ = 409678392. Its totient is φ = 33013760.

The previous prime is 123878389. The next prime is 123878407. The reversal of 123878400 is 4878321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123878407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75994 + ... + 77606.

Almost surely, 2^123878400 is an apocalyptic number.

123878400 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 123878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204839196).

123878400 is an abundant number, since it is smaller than the sum of its proper divisors (285799992).

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

123878400 is a wasteful number, since it uses less digits than its factorization.

123878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 123878400 is about 11130.0673852408. The cubic root of 123878400 is about 498.5000380614.

The spelling of 123878400 in words is "one hundred twenty-three million, eight hundred seventy-eight thousand, four hundred".