77766070617760 has 192 divisors, whose sum is σ = 219141555494400. Its totient is φ = 25498273185792.

The previous prime is 77766070617751. The next prime is 77766070617761. The reversal of 77766070617760 is 6771607066777.

It is not an unprimeable number, because it can be changed into a prime (77766070617761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128730496 + ... + 129333184.

It is an arithmetic number, because the mean of its divisors is an integer number (1141362268200).

Almost surely, 2^{77766070617760} is an apocalyptic number.

77766070617760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77766070617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109570777747200).

77766070617760 is an abundant number, since it is smaller than the sum of its proper divisors (141375484876640).

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

77766070617760 is a wasteful number, since it uses less digits than its factorization.

77766070617760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607743 (or 607735 counting only the distinct ones).

The product of its (nonzero) digits is 152473104, while the sum is 67.

The spelling of 77766070617760 in words is "seventy-seven trillion, seven hundred sixty-six billion, seventy million, six hundred seventeen thousand, seven hundred sixty".