77118432391680 has 320 divisors, whose sum is σ = 260257436208000. Its totient is φ = 19426714583040.

The previous prime is 77118432391589. The next prime is 77118432391753. The reversal of 77118432391680 is 8619323481177.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×77118432391680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50168920 + ... + 51683240.

It is an arithmetic number, because the mean of its divisors is an integer number (813304488150).

Almost surely, 2^{77118432391680} 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 77118432391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130128718104000).

77118432391680 is an abundant number, since it is smaller than the sum of its proper divisors (183139003816320).

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

77118432391680 is a wasteful number, since it uses less digits than its factorization.

77118432391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514715 (or 1514699 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 77118432391680 in words is "seventy-seven trillion, one hundred eighteen billion, four hundred thirty-two million, three hundred ninety-one thousand, six hundred eighty".