768938520 has 128 divisors (see below), whose sum is σ = 2673699840. Its totient is φ = 173268480.

The previous prime is 768938503. The next prime is 768938549. The reversal of 768938520 is 25839867.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 768938520.

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 31 ways as a sum of consecutive naturals, for example, 53194 + ... + 66086.

It is an arithmetic number, because the mean of its divisors is an integer number (20888280).

Almost surely, 2^768938520 is an apocalyptic number.

768938520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768938520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336849920).

768938520 is an abundant number, since it is smaller than the sum of its proper divisors (1904761320).

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

768938520 is a wasteful number, since it uses less digits than its factorization.

768938520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12985 (or 12981 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 768938520 is about 27729.7407128159. The cubic root of 768938520 is about 916.1442759466.

The spelling of 768938520 in words is "seven hundred sixty-eight million, nine hundred thirty-eight thousand, five hundred twenty".