126878400 has 420 divisors, whose sum is σ = 514487160. Its totient is φ = 30412800.

The previous prime is 126878399. The next prime is 126878407. The reversal of 126878400 is 4878621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126878407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425556 + ... + 1425644.

Almost surely, 2^126878400 is an apocalyptic number.

126878400 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 126878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257243580).

126878400 is an abundant number, since it is smaller than the sum of its proper divisors (387608760).

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

126878400 is a wasteful number, since it uses less digits than its factorization.

126878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126878400 is about 11264.0312499567. The cubic root of 126878400 is about 502.4920916554.

The spelling of 126878400 in words is "one hundred twenty-six million, eight hundred seventy-eight thousand, four hundred".