76890845625984 has 768 divisors, whose sum is σ = 252626931648000. Its totient is φ = 22268592783360.

The previous prime is 76890845625977. The next prime is 76890845625989. The reversal of 76890845625984 is 48952654809867.

76890845625984 is a `hidden beast` number, since 7 + 6 + 89 + 0 + 8 + 456 + 2 + 5 + 9 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (76890845625989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14110998492 + ... + 14111003940.

It is an arithmetic number, because the mean of its divisors is an integer number (328941317250).

Almost surely, 2^{76890845625984} 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 76890845625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126313465824000).

76890845625984 is an abundant number, since it is smaller than the sum of its proper divisors (175736086022016).

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

76890845625984 is a wasteful number, since it uses less digits than its factorization.

76890845625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 8360755200, while the sum is 81.

The spelling of 76890845625984 in words is "seventy-six trillion, eight hundred ninety billion, eight hundred forty-five million, six hundred twenty-five thousand, nine hundred eighty-four".