768511040 has 112 divisors (see below), whose sum is σ = 2015703360. Its totient is φ = 276756480.

The previous prime is 768511033. The next prime is 768511043. The reversal of 768511040 is 40115867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 768510988 and 768511006.

It is not an unprimeable number, because it can be changed into a prime (768511043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382679 + ... + 384681.

Almost surely, 2^768511040 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 768511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007851680).

768511040 is an abundant number, since it is smaller than the sum of its proper divisors (1247192320).

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

768511040 is a wasteful number, since it uses less digits than its factorization.

768511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 768511040 is about 27722.0316715785. The cubic root of 768511040 is about 915.9744721883.

The spelling of 768511040 in words is "seven hundred sixty-eight million, five hundred eleven thousand, forty".