125782380 has 72 divisors (see below), whose sum is σ = 383134752. Its totient is φ = 33401856.

The previous prime is 125782361. The next prime is 125782417. The reversal of 125782380 is 83287521.

125782380 is a `hidden beast` number, since 1 + 2 + 578 + 2 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46012 + ... + 48668.

It is an arithmetic number, because the mean of its divisors is an integer number (5321316).

Almost surely, 2^125782380 is an apocalyptic number.

125782380 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 125782380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191567376).

125782380 is an abundant number, since it is smaller than the sum of its proper divisors (257352372).

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

125782380 is a wasteful number, since it uses less digits than its factorization.

125782380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 125782380 is about 11215.2744059162. The cubic root of 125782380 is about 501.0410044486.

The spelling of 125782380 in words is "one hundred twenty-five million, seven hundred eighty-two thousand, three hundred eighty".