766387744 has 48 divisors (see below), whose sum is σ = 1636593336. Its totient is φ = 351846400.

The previous prime is 766387733. The next prime is 766387747. The reversal of 766387744 is 447783667.

It can be written as a sum of positive squares in 4 ways, for example, as 675376144 + 91011600 = 25988^2 + 9540^2 .

It is a junction number, because it is equal to n+sod(n) for n = 766387691 and 766387700.

It is not an unprimeable number, because it can be changed into a prime (766387747) 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 7 ways as a sum of consecutive naturals, for example, 5124 + ... + 39484.

Almost surely, 2^766387744 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 766387744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818296668).

766387744 is an abundant number, since it is smaller than the sum of its proper divisors (870205592).

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

766387744 is a wasteful number, since it uses less digits than its factorization.

766387744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34429 (or 34421 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 52.

The square root of 766387744 is about 27683.7090000599. The cubic root of 766387744 is about 915.1301213416.

The spelling of 766387744 in words is "seven hundred sixty-six million, three hundred eighty-seven thousand, seven hundred forty-four".