126782080 has 32 divisors (see below), whose sum is σ = 303089940. Its totient is φ = 50712576.

The previous prime is 126782059. The next prime is 126782081. The reversal of 126782080 is 80287621.

It can be written as a sum of positive squares in 2 ways, for example, as 118897216 + 7884864 = 10904^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (126782081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98409 + ... + 99688.

Almost surely, 2^126782080 is an apocalyptic number.

126782080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126782080 is an abundant number, since it is smaller than the sum of its proper divisors (176307860).

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

126782080 is an equidigital number, since it uses as much as digits as its factorization.

126782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198116 (or 198104 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 126782080 is about 11259.7548818791. The cubic root of 126782080 is about 502.3649034944.

The spelling of 126782080 in words is "one hundred twenty-six million, seven hundred eighty-two thousand, eighty".