768506960 has 160 divisors (see below), whose sum is σ = 2021120640. Its totient is φ = 269789184.

The previous prime is 768506939. The next prime is 768506969. The reversal of 768506960 is 69605867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768506969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2503127 + ... + 2503433.

It is an arithmetic number, because the mean of its divisors is an integer number (12632004).

Almost surely, 2^768506960 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 768506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010560320).

768506960 is an abundant number, since it is smaller than the sum of its proper divisors (1252613680).

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

768506960 is a wasteful number, since it uses less digits than its factorization.

768506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 768506960 is about 27721.9580838006. The cubic root of 768506960 is about 915.9728512259.

The spelling of 768506960 in words is "seven hundred sixty-eight million, five hundred six thousand, nine hundred sixty".