77416581120 has 384 divisors, whose sum is σ = 260237577600. Its totient is φ = 19619905536.

The previous prime is 77416581097. The next prime is 77416581173. The reversal of 77416581120 is 2118561477.

It is a tau number, because it is divible by the number of its divisors (384).

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, 59688312 + ... + 59689608.

It is an arithmetic number, because the mean of its divisors is an integer number (677702025).

Almost surely, 2^77416581120 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 77416581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130118788800).

77416581120 is an abundant number, since it is smaller than the sum of its proper divisors (182820996480).

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

77416581120 is a wasteful number, since it uses less digits than its factorization.

77416581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 77416581120 in words is "seventy-seven billion, four hundred sixteen million, five hundred eighty-one thousand, one hundred twenty".