77681028096 has 594 divisors, whose sum is σ = 271117657980. Its totient is φ = 21358632960.

The previous prime is 77681028053. The next prime is 77681028101. The reversal of 77681028096 is 69082018677.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 433972135 + ... + 433972313.

Almost surely, 2^77681028096 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 77681028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135558828990).

77681028096 is an abundant number, since it is smaller than the sum of its proper divisors (193436629884).

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

77681028096 is a wasteful number, since it uses less digits than its factorization.

77681028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 77681028096 in words is "seventy-seven billion, six hundred eighty-one million, twenty-eight thousand, ninety-six".