126978800 has 60 divisors (see below), whose sum is σ = 328546680. Its totient is φ = 46882560.

The previous prime is 126978781. The next prime is 126978809. The reversal of 126978800 is 8879621.

It is a super-2 number, since 2×126978800² = 32247231298880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126978809) 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, 7010 + ... + 17409.

It is an arithmetic number, because the mean of its divisors is an integer number (5475778).

Almost surely, 2^126978800 is an apocalyptic number.

126978800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126978800 is an abundant number, since it is smaller than the sum of its proper divisors (201567880).

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

126978800 is a wasteful number, since it uses less digits than its factorization.

126978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24450 (or 24439 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 126978800 is about 11268.4870324281. The cubic root of 126978800 is about 502.6245988556.

The spelling of 126978800 in words is "one hundred twenty-six million, nine hundred seventy-eight thousand, eight hundred".