77313120 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 19171328.

The previous prime is 77313079. The next prime is 77313121. The reversal of 77313120 is 2131377.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77313121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518806 + ... + 518954.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^77313120 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 77313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

77313120 is an abundant number, since it is smaller than the sum of its proper divisors (183960480).

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

77313120 is a wasteful number, since it uses less digits than its factorization.

77313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 77313120 is about 8792.7879537721. The cubic root of 77313120 is about 426.0079788671.

Adding to 77313120 its reverse (2131377), we get a palindrome (79444497).

The spelling of 77313120 in words is "seventy-seven million, three hundred thirteen thousand, one hundred twenty".