76788800000000 has 468 divisors, whose sum is σ = 209446322450928. Its totient is φ = 27916800000000.

The previous prime is 76788799999969. The next prime is 76788800000023. The reversal of 76788800000000 is 888767.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17599997819 + ... + 17600002181.

Almost surely, 2^{76788800000000} 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 76788800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104723161225464).

76788800000000 is an abundant number, since it is smaller than the sum of its proper divisors (132657522450928).

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

76788800000000 is an frugal number, since it uses more digits than its factorization.

76788800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

Adding to 76788800000000 its reverse (888767), we get a palindrome (76788800888767).

The spelling of 76788800000000 in words is "seventy-six trillion, seven hundred eighty-eight billion, eight hundred million", and thus it is an aban number.