77355720064 has 128 divisors (see below), whose sum is σ = 181980794880. Its totient is φ = 32067409920.

The previous prime is 77355720037. The next prime is 77355720107. The reversal of 77355720064 is 46002755377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 77355719996 and 77355720023.

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, 3360177 + ... + 3383119.

It is an arithmetic number, because the mean of its divisors is an integer number (1421724960).

Almost surely, 2^77355720064 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 77355720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90990397440).

77355720064 is an abundant number, since it is smaller than the sum of its proper divisors (104625074816).

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

77355720064 is a wasteful number, since it uses less digits than its factorization.

77355720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23088 (or 23076 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 46.

The spelling of 77355720064 in words is "seventy-seven billion, three hundred fifty-five million, seven hundred twenty thousand, sixty-four".