768405960 has 128 divisors (see below), whose sum is σ = 2927289600. Its totient is φ = 175633920.

The previous prime is 768405947. The next prime is 768405971. The reversal of 768405960 is 69504867.

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 31 ways as a sum of consecutive naturals, for example, 43261 + ... + 58380.

It is an arithmetic number, because the mean of its divisors is an integer number (22869450).

Almost surely, 2^768405960 is an apocalyptic number.

768405960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768405960 is an abundant number, since it is smaller than the sum of its proper divisors (2158883640).

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

768405960 is a wasteful number, since it uses less digits than its factorization.

768405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101668 (or 101658 counting only the distinct ones).

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

The square root of 768405960 is about 27720.1363633010. The cubic root of 768405960 is about 915.9327226320.

The spelling of 768405960 in words is "seven hundred sixty-eight million, four hundred five thousand, nine hundred sixty".