77368896000 has 480 divisors, whose sum is σ = 304026630336. Its totient is φ = 18754560000.

The previous prime is 77368895899. The next prime is 77368896013. The reversal of 77368896000 is 69886377.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6329895 + ... + 6342105.

Almost surely, 2^77368896000 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 77368896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152013315168).

77368896000 is an abundant number, since it is smaller than the sum of its proper divisors (226657734336).

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

77368896000 is a wasteful number, since it uses less digits than its factorization.

77368896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261 (or 12232 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 77368896000 in words is "seventy-seven billion, three hundred sixty-eight million, eight hundred ninety-six thousand".