77076308434944 has 1344 divisors, whose sum is σ = 265769796729600. Its totient is φ = 19429123424256.

The previous prime is 77076308434901. The next prime is 77076308434969. The reversal of 77076308434944 is 44943480367077.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95273557612 + ... + 95273558420.

Almost surely, 2^{77076308434944} 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 77076308434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132884898364800).

77076308434944 is an abundant number, since it is smaller than the sum of its proper divisors (188693488294656).

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

77076308434944 is a wasteful number, since it uses less digits than its factorization.

77076308434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 66.

The spelling of 77076308434944 in words is "seventy-seven trillion, seventy-six billion, three hundred eight million, four hundred thirty-four thousand, nine hundred forty-four".