768240500 has 48 divisors (see below), whose sum is σ = 1680548688. Its totient is φ = 306800000.

The previous prime is 768240497. The next prime is 768240533. The reversal of 768240500 is 5042867.

It can be written as a sum of positive squares in 8 ways, for example, as 343138576 + 425101924 = 18524^2 + 20618^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589850 + ... + 591150.

It is an arithmetic number, because the mean of its divisors is an integer number (35011431).

Almost surely, 2^768240500 is an apocalyptic number.

It is an amenable number.

768240500 is an abundant number, since it is smaller than the sum of its proper divisors (912308188).

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

768240500 is a wasteful number, since it uses less digits than its factorization.

768240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 768240500 is about 27717.1517295699. The cubic root of 768240500 is about 915.8669756549.

The spelling of 768240500 in words is "seven hundred sixty-eight million, two hundred forty thousand, five hundred".