768540960 has 336 divisors, whose sum is σ = 2974708800. Its totient is φ = 186001920.

The previous prime is 768540923. The next prime is 768541003. The reversal of 768540960 is 69045867.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1282741 + ... + 1283339.

It is an arithmetic number, because the mean of its divisors is an integer number (8853300).

Almost surely, 2^768540960 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 768540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487354400).

768540960 is an abundant number, since it is smaller than the sum of its proper divisors (2206167840).

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

768540960 is a wasteful number, since it uses less digits than its factorization.

768540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 768540960 is about 27722.5713093140. The cubic root of 768540960 is about 915.9863590705.

The spelling of 768540960 in words is "seven hundred sixty-eight million, five hundred forty thousand, nine hundred sixty".