76123379346456 has 256 divisors, whose sum is σ = 213332543424000. Its totient is φ = 22483327426560.

The previous prime is 76123379346449. The next prime is 76123379346463. The reversal of 76123379346456 is 65464397332167.

It is a happy number.

76123379346456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (76123379346449) and next prime (76123379346463).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3024477040 + ... + 3024502208.

It is an arithmetic number, because the mean of its divisors is an integer number (833330247750).

Almost surely, 2^{76123379346456} 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 76123379346456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106666271712000).

76123379346456 is an abundant number, since it is smaller than the sum of its proper divisors (137209164077544).

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

76123379346456 is a wasteful number, since it uses less digits than its factorization.

76123379346456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29114 (or 29110 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 66.

The spelling of 76123379346456 in words is "seventy-six trillion, one hundred twenty-three billion, three hundred seventy-nine million, three hundred forty-six thousand, four hundred fifty-six".