125792784 has 120 divisors (see below), whose sum is σ = 391210080. Its totient is φ = 38683008.

The previous prime is 125792783. The next prime is 125792789. The reversal of 125792784 is 487297521.

It is a happy number.

125792784 is a `hidden beast` number, since 1 + 2 + 579 + 2 + 78 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (125792783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72147 + ... + 73869.

It is an arithmetic number, because the mean of its divisors is an integer number (3260084).

Almost surely, 2^125792784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125792784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195605040).

125792784 is an abundant number, since it is smaller than the sum of its proper divisors (265417296).

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

125792784 is a wasteful number, since it uses less digits than its factorization.

125792784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1741 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 125792784 is about 11215.7382280437. The cubic root of 125792784 is about 501.0548184844.

The spelling of 125792784 in words is "one hundred twenty-five million, seven hundred ninety-two thousand, seven hundred eighty-four".