766248016 has 40 divisors (see below), whose sum is σ = 1523730600. Its totient is φ = 373063680.

The previous prime is 766248011. The next prime is 766248019. The reversal of 766248016 is 610842667.

It can be written as a sum of positive squares in 4 ways, for example, as 26625600 + 739622416 = 5160^2 + 27196^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 766248016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766248011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543120 + ... + 544528.

It is an arithmetic number, because the mean of its divisors is an integer number (38093265).

Almost surely, 2^766248016 is an apocalyptic number.

It is an amenable number.

766248016 is a deficient number, since it is larger than the sum of its proper divisors (757482584).

766248016 is a wasteful number, since it uses less digits than its factorization.

766248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 766248016 is about 27681.1852347402. The cubic root of 766248016 is about 915.0745023792.

The spelling of 766248016 in words is "seven hundred sixty-six million, two hundred forty-eight thousand, sixteen".