768276144020 has 576 divisors, whose sum is σ = 2169334272000. Its totient is φ = 228004761600.

The previous prime is 768276144011. The next prime is 768276144037. The reversal of 768276144020 is 20441672867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1878425576 + ... + 1878425984.

Almost surely, 2^768276144020 is an apocalyptic number.

768276144020 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 768276144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084667136000).

768276144020 is an abundant number, since it is smaller than the sum of its proper divisors (1401058127980).

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

768276144020 is a wasteful number, since it uses less digits than its factorization.

768276144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 768276144020 in words is "seven hundred sixty-eight billion, two hundred seventy-six million, one hundred forty-four thousand, twenty".