77021330320 has 120 divisors (see below), whose sum is σ = 198158801400. Its totient is φ = 27819264000.

The previous prime is 77021330311. The next prime is 77021330327. The reversal of 77021330320 is 2303312077.

It can be written as a sum of positive squares in 4 ways, for example, as 376515216 + 76644815104 = 19404^2 + 276848^2 .

It is not an unprimeable number, because it can be changed into a prime (77021330327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1415620 + ... + 1469020.

It is an arithmetic number, because the mean of its divisors is an integer number (1651323345).

Almost surely, 2^77021330320 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 77021330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99079400700).

77021330320 is an abundant number, since it is smaller than the sum of its proper divisors (121137471080).

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

77021330320 is a wasteful number, since it uses less digits than its factorization.

77021330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53585 (or 53568 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

Adding to 77021330320 its reverse (2303312077), we get a palindrome (79324642397).

The spelling of 77021330320 in words is "seventy-seven billion, twenty-one million, three hundred thirty thousand, three hundred twenty".