77220819768 has 96 divisors (see below), whose sum is σ = 204370594560. Its totient is φ = 24310946880.

The previous prime is 77220819763. The next prime is 77220819779. The reversal of 77220819768 is 86791802277.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77220819761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854321 + ... + 2881247.

It is an arithmetic number, because the mean of its divisors is an integer number (2128860360).

Almost surely, 2^77220819768 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 77220819768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102185297280).

77220819768 is an abundant number, since it is smaller than the sum of its proper divisors (127149774792).

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

77220819768 is a wasteful number, since it uses less digits than its factorization.

77220819768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27305 (or 27282 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 77220819768 in words is "seventy-seven billion, two hundred twenty million, eight hundred nineteen thousand, seven hundred sixty-eight".