125780 has 24 divisors (see below), whose sum is σ = 278880. Its totient is φ = 47520.

The previous prime is 125777. The next prime is 125789. The reversal of 125780 is 87521.

125780 = 16² + 17² + ... + 72².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (11620).

2¹²⁵⁷⁸⁰ is an apocalyptic number.

125780 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 125780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139440).

125780 is an abundant number, since it is smaller than the sum of its proper divisors (153100).

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

125780 is a wasteful number, since it uses less digits than its factorization.

125780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 125780 is about 354.6547617050. The cubic root of 125780 is about 50.1037844268.

The spelling of 125780 in words is "one hundred twenty-five thousand, seven hundred eighty".