77532320 has 24 divisors (see below), whose sum is σ = 183170484. Its totient is φ = 31012864.

The previous prime is 77532289. The next prime is 77532383. The reversal of 77532320 is 2323577.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416 + 21904 = 8804^2 + 148^2 .

It is a super-2 number, since 2×77532320² = 12022521289164800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 242129 + ... + 242448.

Almost surely, 2^77532320 is an apocalyptic number.

It is an amenable number.

77532320 is an abundant number, since it is smaller than the sum of its proper divisors (105638164).

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

77532320 is a wasteful number, since it uses less digits than its factorization.

77532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484592 (or 484584 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 29.

The square root of 77532320 is about 8805.2438921361. The cubic root of 77532320 is about 426.4102082935.

Adding to 77532320 its reverse (2323577), we get a palindrome (79855897).

The spelling of 77532320 in words is "seventy-seven million, five hundred thirty-two thousand, three hundred twenty".