77377346641920 has 896 divisors, whose sum is σ = 278307425104128. Its totient is φ = 18230752051200.

The previous prime is 77377346641871. The next prime is 77377346641957. The reversal of 77377346641920 is 2914664377377.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3471225975 + ... + 3471248265.

It is an arithmetic number, because the mean of its divisors is an integer number (310610965518).

Almost surely, 2^{77377346641920} 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 77377346641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139153712552064).

77377346641920 is an abundant number, since it is smaller than the sum of its proper divisors (200930078462208).

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

77377346641920 is a wasteful number, since it uses less digits than its factorization.

77377346641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22432 (or 22408 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 66.

The spelling of 77377346641920 in words is "seventy-seven trillion, three hundred seventy-seven billion, three hundred forty-six million, six hundred forty-one thousand, nine hundred twenty".