77666202779040 has 576 divisors, whose sum is σ = 271419306762240. Its totient is φ = 20218964981760.

The previous prime is 77666202779017. The next prime is 77666202779057. The reversal of 77666202779040 is 4097720266677.

It is a happy number.

It is a super-2 number, since 2×77666202779040² (a number of 29 digits) contains 22 as substring.

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, 5896751655 + ... + 5896764825.

It is an arithmetic number, because the mean of its divisors is an integer number (471214074240).

Almost surely, 2^{77666202779040} 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 77666202779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135709653381120).

77666202779040 is an abundant number, since it is smaller than the sum of its proper divisors (193753103983200).

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

77666202779040 is a wasteful number, since it uses less digits than its factorization.

77666202779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 77666202779040 in words is "seventy-seven trillion, six hundred sixty-six billion, two hundred two million, seven hundred seventy-nine thousand, forty".