77700007776 has 192 divisors, whose sum is σ = 209935756800. Its totient is φ = 25156141056.

The previous prime is 77700007771. The next prime is 77700007793. The reversal of 77700007776 is 67770000777.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77700007771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176992965 + ... + 176993403.

It is an arithmetic number, because the mean of its divisors is an integer number (1093415400).

Almost surely, 2^77700007776 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 77700007776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104967878400).

77700007776 is an abundant number, since it is smaller than the sum of its proper divisors (132235749024).

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

77700007776 is a wasteful number, since it uses less digits than its factorization.

77700007776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 705894, while the sum is 48.

The spelling of 77700007776 in words is "seventy-seven billion, seven hundred million, seven thousand, seven hundred seventy-six".