77354013057720 has 512 divisors, whose sum is σ = 278405720524800. Its totient is φ = 16825553805312.

The previous prime is 77354013057691. The next prime is 77354013057721. The reversal of 77354013057720 is 2775031045377.

It is a super-2 number, since 2×77354013057720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77354013057721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361135774 + ... + 361349906.

It is an arithmetic number, because the mean of its divisors is an integer number (543761172900).

Almost surely, 2^{77354013057720} is an apocalyptic number.

77354013057720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77354013057720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139202860262400).

77354013057720 is an abundant number, since it is smaller than the sum of its proper divisors (201051707467080).

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

77354013057720 is a wasteful number, since it uses less digits than its factorization.

77354013057720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214447 (or 214443 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 51.

The spelling of 77354013057720 in words is "seventy-seven trillion, three hundred fifty-four billion, thirteen million, fifty-seven thousand, seven hundred twenty".