77307120 has 240 divisors, whose sum is σ = 291088512. Its totient is φ = 18224640.

The previous prime is 77307049. The next prime is 77307121. The reversal of 77307120 is 2170377.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77307121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340447 + ... + 340673.

Almost surely, 2^77307120 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 77307120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

77307120 is an abundant number, since it is smaller than the sum of its proper divisors (213781392).

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

77307120 is a wasteful number, since it uses less digits than its factorization.

77307120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77307120 is about 8792.4467584399. The cubic root of 77307120 is about 425.9969582538.

Adding to 77307120 its reverse (2170377), we get a palindrome (79477497).

The spelling of 77307120 in words is "seventy-seven million, three hundred seven thousand, one hundred twenty".