77757550213434 has 288 divisors, whose sum is σ = 210682793301120. Its totient is φ = 18939432847104.

The previous prime is 77757550213397. The next prime is 77757550213489. The reversal of 77757550213434 is 43431205575777.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57970219 + ... + 59296385.

It is an arithmetic number, because the mean of its divisors is an integer number (731537476740).

Almost surely, 2^{77757550213434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77757550213434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105341396650560).

77757550213434 is an abundant number, since it is smaller than the sum of its proper divisors (132925243087686).

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

77757550213434 is a wasteful number, since it uses less digits than its factorization.

77757550213434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326274 (or 1326244 counting only the distinct ones).

The product of its (nonzero) digits is 86436000, while the sum is 60.

The spelling of 77757550213434 in words is "seventy-seven trillion, seven hundred fifty-seven billion, five hundred fifty million, two hundred thirteen thousand, four hundred thirty-four".