126804800 has 84 divisors (see below), whose sum is σ = 319794636. Its totient is φ = 49459200.

The previous prime is 126804767. The next prime is 126804829. The reversal of 126804800 is 8408621.

It can be written as a sum of positive squares in 6 ways, for example, as 13424896 + 113379904 = 3664^2 + 10648^2 .

It is a congruent number.

It is an unprimeable number.

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, 64634 + ... + 66566.

It is an arithmetic number, because the mean of its divisors is an integer number (3807079).

Almost surely, 2^126804800 is an apocalyptic number.

126804800 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 126804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159897318).

126804800 is an abundant number, since it is smaller than the sum of its proper divisors (192989836).

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

126804800 is a wasteful number, since it uses less digits than its factorization.

126804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 126804800 is about 11260.7637396404. The cubic root of 126804800 is about 502.3949104925.

The spelling of 126804800 in words is "one hundred twenty-six million, eight hundred four thousand, eight hundred".