127980000780 has 384 divisors, whose sum is σ = 415404122112. Its totient is φ = 29248192512.

The previous prime is 127980000779. The next prime is 127980000809. The reversal of 127980000780 is 87000089721.

127980000780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40795372 + ... + 40798508.

It is an arithmetic number, because the mean of its divisors is an integer number (1081781568).

Almost surely, 2^127980000780 is an apocalyptic number.

127980000780 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 127980000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207702061056).

127980000780 is an abundant number, since it is smaller than the sum of its proper divisors (287424121332).

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

127980000780 is a wasteful number, since it uses less digits than its factorization.

127980000780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 127980000780 in words is "one hundred twenty-seven billion, nine hundred eighty million, seven hundred eighty", and thus it is an aban number.