768083640 has 32 divisors (see below), whose sum is σ = 2304251280. Its totient is φ = 204822272.

The previous prime is 768083639. The next prime is 768083663. The reversal of 768083640 is 46380867.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 768083592 and 768083601.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3200229 + ... + 3200468.

Almost surely, 2^768083640 is an apocalyptic number.

It is an amenable number.

768083640 is an abundant number, since it is smaller than the sum of its proper divisors (1536167640).

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

768083640 is a wasteful number, since it uses less digits than its factorization.

768083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400711 (or 6400707 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 768083640 is about 27714.3219292841. The cubic root of 768083640 is about 915.8046372454.

The spelling of 768083640 in words is "seven hundred sixty-eight million, eighty-three thousand, six hundred forty".