77145120 has 216 divisors, whose sum is σ = 285965316. Its totient is φ = 18929664.

The previous prime is 77145119. The next prime is 77145127. The reversal of 77145120 is 2154177.

It can be written as a sum of positive squares in 6 ways, for example, as 197136 + 76947984 = 444^2 + 8772^2 .

It is not an unprimeable number, because it can be changed into a prime (77145127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243202 + ... + 243518.

Almost surely, 2^77145120 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 77145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142982658).

77145120 is an abundant number, since it is smaller than the sum of its proper divisors (208820196).

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

77145120 is a wasteful number, since it uses less digits than its factorization.

77145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 77145120 is about 8783.2294744018. The cubic root of 77145120 is about 425.6991859018.

Adding to 77145120 its reverse (2154177), we get a palindrome (79299297).

The spelling of 77145120 in words is "seventy-seven million, one hundred forty-five thousand, one hundred twenty".