76744800000 has 1728 divisors, whose sum is σ = 344902924800. Its totient is φ = 16588800000.

The previous prime is 76744799993. The next prime is 76744800001. The reversal of 76744800000 is 844767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76744800001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4039199991 + ... + 4039200009.

It is an arithmetic number, because the mean of its divisors is an integer number (199596600).

Almost surely, 2^76744800000 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 76744800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172451462400).

76744800000 is an abundant number, since it is smaller than the sum of its proper divisors (268158124800).

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

76744800000 is a wasteful number, since it uses less digits than its factorization.

76744800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 76744800000 in words is "seventy-six billion, seven hundred forty-four million, eight hundred thousand".