768253680 has 160 divisors (see below), whose sum is σ = 2662329600. Its totient is φ = 203620608.

The previous prime is 768253649. The next prime is 768253693. The reversal of 768253680 is 86352867.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 385647 + ... + 387633.

It is an arithmetic number, because the mean of its divisors is an integer number (16639560).

Almost surely, 2^768253680 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 768253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331164800).

768253680 is an abundant number, since it is smaller than the sum of its proper divisors (1894075920).

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

768253680 is a wasteful number, since it uses less digits than its factorization.

768253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 768253680 is about 27717.3894874680. The cubic root of 768253680 is about 915.8722131891.

The spelling of 768253680 in words is "seven hundred sixty-eight million, two hundred fifty-three thousand, six hundred eighty".