126780000 has 120 divisors (see below), whose sum is σ = 416060568. Its totient is φ = 33792000.

The previous prime is 126779993. The next prime is 126780001. The reversal of 126780000 is 87621.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126780001) 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 19 ways as a sum of consecutive naturals, for example, 58944 + ... + 61056.

Almost surely, 2^126780000 is an apocalyptic number.

126780000 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 126780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208030284).

126780000 is an abundant number, since it is smaller than the sum of its proper divisors (289280568).

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

126780000 is an equidigital number, since it uses as much as digits as its factorization.

126780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2123 counting only the distinct ones).

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

The square root of 126780000 is about 11259.6625171450. The cubic root of 126780000 is about 502.3621561958.

The spelling of 126780000 in words is "one hundred twenty-six million, seven hundred eighty thousand".