77993742376 has 64 divisors (see below), whose sum is σ = 161447256000. Its totient is φ = 35026844160.

The previous prime is 77993742373. The next prime is 77993742377. The reversal of 77993742376 is 67324739977.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77993742373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13381975 + ... + 13387801.

It is an arithmetic number, because the mean of its divisors is an integer number (2522613375).

Almost surely, 2^77993742376 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 77993742376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80723628000).

77993742376 is an abundant number, since it is smaller than the sum of its proper divisors (83453513624).

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

77993742376 is a wasteful number, since it uses less digits than its factorization.

77993742376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7638 counting only the distinct ones).

The product of its digits is 84015792, while the sum is 64.

The spelling of 77993742376 in words is "seventy-seven billion, nine hundred ninety-three million, seven hundred forty-two thousand, three hundred seventy-six".