77773735776 has 96 divisors (see below), whose sum is σ = 223960464000. Its totient is φ = 23436078080.

The previous prime is 77773735751. The next prime is 77773735799. The reversal of 77773735776 is 67753737777.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16701 + ... + 394748.

It is an arithmetic number, because the mean of its divisors is an integer number (2332921500).

Almost surely, 2^77773735776 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 77773735776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111980232000).

77773735776 is an abundant number, since it is smaller than the sum of its proper divisors (146186728224).

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

77773735776 is a wasteful number, since it uses less digits than its factorization.

77773735776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411652 (or 411644 counting only the distinct ones).

The product of its digits is 222356610, while the sum is 66.

The spelling of 77773735776 in words is "seventy-seven billion, seven hundred seventy-three million, seven hundred thirty-five thousand, seven hundred seventy-six".