77350345113600 has 3840 divisors, whose sum is σ = 346007604096000. Its totient is φ = 16742319390720.

The previous prime is 77350345113593. The next prime is 77350345113611. The reversal of 77350345113600 is 631154305377.

77350345113600 is a `hidden beast` number, since 7 + 7 + 3 + 5 + 0 + 34 + 5 + 1 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1798845235179 + ... + 1798845235221.

It is an arithmetic number, because the mean of its divisors is an integer number (90106146900).

Almost surely, 2^{77350345113600} 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 77350345113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173003802048000).

77350345113600 is an abundant number, since it is smaller than the sum of its proper divisors (268657258982400).

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

77350345113600 is a wasteful number, since it uses less digits than its factorization.

77350345113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

Adding to 77350345113600 its reverse (631154305377), we get a palindrome (77981499418977).

The spelling of 77350345113600 in words is "seventy-seven trillion, three hundred fifty billion, three hundred forty-five million, one hundred thirteen thousand, six hundred".