76163416026880 has 432 divisors, whose sum is σ = 240573915902880. Its totient is φ = 22835804995584.

The previous prime is 76163416026829. The next prime is 76163416026881. The reversal of 76163416026880 is 8862061436167.

76163416026880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76163416026881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13033662 + ... + 17950018.

It is an arithmetic number, because the mean of its divisors is an integer number (556884064590).

Almost surely, 2^{76163416026880} is an apocalyptic number.

76163416026880 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 76163416026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120286957951440).

76163416026880 is an abundant number, since it is smaller than the sum of its proper divisors (164410499876000).

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

76163416026880 is a wasteful number, since it uses less digits than its factorization.

76163416026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916424 (or 4916403 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 76163416026880 in words is "seventy-six trillion, one hundred sixty-three billion, four hundred sixteen million, twenty-six thousand, eight hundred eighty".