768824540 has 24 divisors (see below), whose sum is σ = 1761307632. Its totient is φ = 279572480.

The previous prime is 768824533. The next prime is 768824549. The reversal of 768824540 is 45428867.

It is a super-3 number, since 3×768824540³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 768824491 and 768824500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768824549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1747109 + ... + 1747548.

It is an arithmetic number, because the mean of its divisors is an integer number (73387818).

Almost surely, 2^768824540 is an apocalyptic number.

It is an amenable number.

768824540 is an abundant number, since it is smaller than the sum of its proper divisors (992483092).

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

768824540 is a wasteful number, since it uses less digits than its factorization.

768824540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494677 (or 3494675 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 768824540 is about 27727.6854425320. The cubic root of 768824540 is about 916.0990069245.

The spelling of 768824540 in words is "seven hundred sixty-eight million, eight hundred twenty-four thousand, five hundred forty".