126780 has 24 divisors (see below), whose sum is σ = 355152. Its totient is φ = 33792.

The previous prime is 126761. The next prime is 126781. The reversal of 126780 is 87621.

It is a self number, because there is not a number n which added to its sum of digits gives 126780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126781) by changing a digit.

126780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (14798).

2¹²⁶⁷⁸⁰ is an apocalyptic number.

126780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126780 is an abundant number, since it is smaller than the sum of its proper divisors (228372).

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

126780 is a wasteful number, since it uses less digits than its factorization.

126780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 126780 is about 356.0617923900. The cubic root of 126780 is about 50.2362156196.

Subtracting from 126780 its sum of digits (24), we obtain a triangular number (126756 = T₅₀₃).

The spelling of 126780 in words is "one hundred twenty-six thousand, seven hundred eighty".