126880800 has 144 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 32650240.

The previous prime is 126880759. The next prime is 126880813. The reversal of 126880800 is 8088621.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68689 + ... + 70511.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^126880800 is an apocalyptic number.

126880800 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 126880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

126880800 is an abundant number, since it is smaller than the sum of its proper divisors (300591840).

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

126880800 is a wasteful number, since it uses less digits than its factorization.

126880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 126880800 is about 11264.1377832482. The cubic root of 126880800 is about 502.4952599736.

The spelling of 126880800 in words is "one hundred twenty-six million, eight hundred eighty thousand, eight hundred".