126757980 has 192 divisors, whose sum is σ = 415134720. Its totient is φ = 32078592.

The previous prime is 126757973. The next prime is 126757993. The reversal of 126757980 is 89757621.

126757980 is a `hidden beast` number, since 12 + 67 + 579 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230609 + ... + 1230711.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^126757980 is an apocalyptic number.

126757980 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 126757980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

126757980 is an abundant number, since it is smaller than the sum of its proper divisors (288376740).

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

126757980 is a wasteful number, since it uses less digits than its factorization.

126757980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 126757980 is about 11258.6846478618. The cubic root of 126757980 is about 502.3330699698. Note that the first 3 decimals are identical.

The spelling of 126757980 in words is "one hundred twenty-six million, seven hundred fifty-seven thousand, nine hundred eighty".