76763647680000 has 400 divisors, whose sum is σ = 256497994930320. Its totient is φ = 20394139648000.

The previous prime is 76763647679977. The next prime is 76763647680007. The reversal of 76763647680000 is 8674636767.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76763647680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258091372 + ... + 258388628.

Almost surely, 2^{76763647680000} 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 76763647680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128248997465160).

76763647680000 is an abundant number, since it is smaller than the sum of its proper divisors (179734347250320).

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

76763647680000 is an equidigital number, since it uses as much as digits as its factorization.

76763647680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297567 (or 297536 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 76763647680000 in words is "seventy-six trillion, seven hundred sixty-three billion, six hundred forty-seven million, six hundred eighty thousand".