126066780 has 120 divisors (see below), whose sum is σ = 452013408. Its totient is φ = 28812672.

The previous prime is 126066769. The next prime is 126066851. The reversal of 126066780 is 87660621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5782 + ... + 16898.

Almost surely, 2^126066780 is an apocalyptic number.

126066780 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 126066780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226006704).

126066780 is an abundant number, since it is smaller than the sum of its proper divisors (325946628).

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

126066780 is a wasteful number, since it uses less digits than its factorization.

126066780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 126066780 is about 11227.9463839119. The cubic root of 126066780 is about 501.4183461175.

The spelling of 126066780 in words is "one hundred twenty-six million, sixty-six thousand, seven hundred eighty".