76718334122080 has 576 divisors, whose sum is σ = 217856662732800. Its totient is φ = 25004719595520.

The previous prime is 76718334122069. The next prime is 76718334122113. The reversal of 76718334122080 is 8022143381767.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14079339196 + ... + 14079344644.

It is an arithmetic number, because the mean of its divisors is an integer number (378223372800).

Almost surely, 2^{76718334122080} is an apocalyptic number.

76718334122080 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 76718334122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108928331366400).

76718334122080 is an abundant number, since it is smaller than the sum of its proper divisors (141138328610720).

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

76718334122080 is a wasteful number, since it uses less digits than its factorization.

76718334122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 76718334122080 in words is "seventy-six trillion, seven hundred eighteen billion, three hundred thirty-four million, one hundred twenty-two thousand, eighty".