77899767496704 has 960 divisors, whose sum is σ = 250651507276800. Its totient is φ = 23817036496896.

The previous prime is 77899767496651. The next prime is 77899767496729. The reversal of 77899767496704 is 40769476799877.

It is a happy number.

77899767496704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 153044729602 + ... + 153044730110.

It is an arithmetic number, because the mean of its divisors is an integer number (261095320080).

Almost surely, 2^{77899767496704} 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 77899767496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125325753638400).

77899767496704 is an abundant number, since it is smaller than the sum of its proper divisors (172751739780096).

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

77899767496704 is a wasteful number, since it uses less digits than its factorization.

77899767496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 56458612224, while the sum is 90.

The spelling of 77899767496704 in words is "seventy-seven trillion, eight hundred ninety-nine billion, seven hundred sixty-seven million, four hundred ninety-six thousand, seven hundred four".