760512126 has 64 divisors (see below), whose sum is σ = 1753620480. Its totient is φ = 217455840.

The previous prime is 760512091. The next prime is 760512127. The reversal of 760512126 is 621215067.

It is a junction number, because it is equal to n+sod(n) for n = 760512093 and 760512102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760512127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353811 + ... + 355953.

It is an arithmetic number, because the mean of its divisors is an integer number (27400320).

Almost surely, 2^760512126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760512126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876810240).

760512126 is an abundant number, since it is smaller than the sum of its proper divisors (993108354).

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

760512126 is a wasteful number, since it uses less digits than its factorization.

760512126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 760512126 is about 27577.3843212151. The cubic root of 760512126 is about 912.7854618486.

The spelling of 760512126 in words is "seven hundred sixty million, five hundred twelve thousand, one hundred twenty-six".