76788000100 has 108 divisors (see below), whose sum is σ = 199074938944. Its totient is φ = 25182527040.

The previous prime is 76788000083. The next prime is 76788000101. The reversal of 76788000100 is 100088767.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76788000100.

It is not an unprimeable number, because it can be changed into a prime (76788000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266617 + ... + 473983.

Almost surely, 2^76788000100 is an apocalyptic number.

76788000100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76788000100 is the 148120-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76788000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99537469472).

76788000100 is an abundant number, since it is smaller than the sum of its proper divisors (122286938844).

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

76788000100 is a wasteful number, since it uses less digits than its factorization.

76788000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207434 (or 207404 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

Adding to 76788000100 its reverse (100088767), we get a palindrome (76888088867).

The spelling of 76788000100 in words is "seventy-six billion, seven hundred eighty-eight million, one hundred", and thus it is an aban number.