768208029842880 has 2688 divisors, whose sum is σ = 3145088403394560. Its totient is φ = 174948802560000.

The previous prime is 768208029842867. The next prime is 768208029842927. The reversal of 768208029842880 is 88248920802867.

768208029842880 is a `hidden beast` number, since 7 + 6 + 8 + 20 + 80 + 29 + 8 + 428 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 768208029842799 and 768208029842808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1014805851462 + ... + 1014805852218.

It is an arithmetic number, because the mean of its divisors is an integer number (1170047769120).

Almost surely, 2^{768208029842880} 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 768208029842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572544201697280).

768208029842880 is an abundant number, since it is smaller than the sum of its proper divisors (2376880373551680).

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

768208029842880 is a wasteful number, since it uses less digits than its factorization.

768208029842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 768208029842880 in words is "seven hundred sixty-eight trillion, two hundred eight billion, twenty-nine million, eight hundred forty-two thousand, eight hundred eighty".