76416766011300 has 288 divisors, whose sum is σ = 260251520586624. Its totient is φ = 17067428352000.

The previous prime is 76416766011283. The next prime is 76416766011353. The reversal of 76416766011300 is 311066761467.

It is a self number, because there is not a number n which added to its sum of digits gives 76416766011300.

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, 20641422 + ... + 24060378.

It is an arithmetic number, because the mean of its divisors is an integer number (903651113148).

Almost surely, 2^{76416766011300} 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 76416766011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130125760293312).

76416766011300 is an abundant number, since it is smaller than the sum of its proper divisors (183834754575324).

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

76416766011300 is a wasteful number, since it uses less digits than its factorization.

76416766011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419519 (or 3419512 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 76416766011300 in words is "seventy-six trillion, four hundred sixteen billion, seven hundred sixty-six million, eleven thousand, three hundred".