125780760 has 384 divisors, whose sum is σ = 512179200. Its totient is φ = 26127360.

The previous prime is 125780749. The next prime is 125780777. The reversal of 125780760 is 67087521.

125780760 is a `hidden beast` number, since 12 + 578 + 0 + 76 + 0 = 666.

125780760 is nontrivially palindromic in base 11.

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 95 ways as a sum of consecutive naturals, for example, 1771525 + ... + 1771595.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^125780760 is an apocalyptic number.

125780760 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 125780760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

125780760 is an abundant number, since it is smaller than the sum of its proper divisors (386398440).

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

125780760 is a wasteful number, since it uses less digits than its factorization.

125780760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 125780760 is about 11215.2021827518. The cubic root of 125780760 is about 501.0388534057.

The spelling of 125780760 in words is "one hundred twenty-five million, seven hundred eighty thousand, seven hundred sixty".