77305120 has 96 divisors (see below), whose sum is σ = 196036848. Its totient is φ = 28704768.

The previous prime is 77305061. The next prime is 77305141. The reversal of 77305120 is 2150377.

It can be written as a sum of positive squares in 8 ways, for example, as 62157456 + 15147664 = 7884^2 + 3892^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263694 + ... + 263986.

Almost surely, 2^77305120 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 77305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98018424).

77305120 is an abundant number, since it is smaller than the sum of its proper divisors (118731728).

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

77305120 is a wasteful number, since it uses less digits than its factorization.

77305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 77305120 is about 8792.3330237202. Note that the first 3 decimals coincide. The cubic root of 77305120 is about 425.9932845893.

Adding to 77305120 its reverse (2150377), we get a palindrome (79455497).

The spelling of 77305120 in words is "seventy-seven million, three hundred five thousand, one hundred twenty".