77118022080 has 896 divisors, whose sum is σ = 319966848000. Its totient is φ = 17275944960.

The previous prime is 77118022067. The next prime is 77118022099. The reversal of 77118022080 is 8022081177.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 95324716 + ... + 95325524.

Almost surely, 2^77118022080 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 77118022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159983424000).

77118022080 is an abundant number, since it is smaller than the sum of its proper divisors (242848825920).

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

77118022080 is a wasteful number, since it uses less digits than its factorization.

77118022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 77118022080 in words is "seventy-seven billion, one hundred eighteen million, twenty-two thousand, eighty".