76387856676096 has 576 divisors, whose sum is σ = 247013364326400. Its totient is φ = 20457987637248.

The previous prime is 76387856676083. The next prime is 76387856676121. The reversal of 76387856676096 is 69067665878367.

It is a Harshad number since it is a multiple of its sum of digits (84).

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, 37027559161 + ... + 37027561223.

It is an arithmetic number, because the mean of its divisors is an integer number (428842646400).

Almost surely, 2^{76387856676096} 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 76387856676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123506682163200).

76387856676096 is an abundant number, since it is smaller than the sum of its proper divisors (170625507650304).

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

76387856676096 is a wasteful number, since it uses less digits than its factorization.

76387856676096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 23044331520, while the sum is 84.

The spelling of 76387856676096 in words is "seventy-six trillion, three hundred eighty-seven billion, eight hundred fifty-six million, six hundred seventy-six thousand, ninety-six".