777006676992 has 352 divisors, whose sum is σ = 2552086147072. Its totient is φ = 204671287296.

The previous prime is 777006676969. The next prime is 777006676993. The reversal of 777006676992 is 299676600777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777006676993) 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, 362577873 + ... + 362580015.

It is an arithmetic number, because the mean of its divisors is an integer number (7250244736).

Almost surely, 2^777006676992 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 777006676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276043073536).

777006676992 is an abundant number, since it is smaller than the sum of its proper divisors (1775079470080).

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

777006676992 is a wasteful number, since it uses less digits than its factorization.

777006676992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 84015792, while the sum is 66.

The spelling of 777006676992 in words is "seven hundred seventy-seven billion, six million, six hundred seventy-six thousand, nine hundred ninety-two".