766112256 has 600 divisors, whose sum is σ = 2963365020. Its totient is φ = 195084288.

The previous prime is 766112251. The next prime is 766112273. The reversal of 766112256 is 652211667.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 25401600 = 27216^2 + 5040^2 .

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 766112256.

It is not an unprimeable number, because it can be changed into a prime (766112251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26417650 + ... + 26417678.

Almost surely, 2^766112256 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 766112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481682510).

766112256 is an abundant number, since it is smaller than the sum of its proper divisors (2197252764).

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

766112256 is a wasteful number, since it uses less digits than its factorization.

766112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 766112256 is about 27678.7329189759. The cubic root of 766112256 is about 915.0204564091.

The spelling of 766112256 in words is "seven hundred sixty-six million, one hundred twelve thousand, two hundred fifty-six".