77181120 has 112 divisors (see below), whose sum is σ = 272308320. Its totient is φ = 20579328.

The previous prime is 77181113. The next prime is 77181121. The reversal of 77181120 is 2118177.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (77181121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4174 + ... + 13106.

Almost surely, 2^77181120 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 77181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136154160).

77181120 is an abundant number, since it is smaller than the sum of its proper divisors (195127200).

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

77181120 is a wasteful number, since it uses less digits than its factorization.

77181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8959 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 77181120 is about 8785.2785954687. The cubic root of 77181120 is about 425.7653935351.

Adding to 77181120 its reverse (2118177), we get a palindrome (79299297).

The spelling of 77181120 in words is "seventy-seven million, one hundred eighty-one thousand, one hundred twenty".