125789760 has 280 divisors, whose sum is σ = 469123776. Its totient is φ = 31933440.

The previous prime is 125789759. The next prime is 125789767. The reversal of 125789760 is 67987521.

125789760 is a `hidden beast` number, since 1 + 2 + 578 + 9 + 76 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125789767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596055 + ... + 596265.

Almost surely, 2^125789760 is an apocalyptic number.

125789760 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 125789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234561888).

125789760 is an abundant number, since it is smaller than the sum of its proper divisors (343334016).

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

125789760 is a wasteful number, since it uses less digits than its factorization.

125789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

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

The square root of 125789760 is about 11215.6034166691. The cubic root of 125789760 is about 501.0508034107.

The spelling of 125789760 in words is "one hundred twenty-five million, seven hundred eighty-nine thousand, seven hundred sixty".