77383518120 has 192 divisors, whose sum is σ = 261170058240. Its totient is φ = 19849881600.

The previous prime is 77383518077. The next prime is 77383518137. The reversal of 77383518120 is 2181538377.

77383518120 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 3 + 518 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842960 + ... + 1884480.

It is an arithmetic number, because the mean of its divisors is an integer number (1360260720).

Almost surely, 2^77383518120 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 77383518120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130585029120).

77383518120 is an abundant number, since it is smaller than the sum of its proper divisors (183786540120).

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

77383518120 is a wasteful number, since it uses less digits than its factorization.

77383518120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41736 (or 41729 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 77383518120 in words is "seventy-seven billion, three hundred eighty-three million, five hundred eighteen thousand, one hundred twenty".