77306320 has 240 divisors, whose sum is σ = 236891088. Its totient is φ = 23224320.

The previous prime is 77306311. The next prime is 77306321. The reversal of 77306320 is 2360377.

It can be written as a sum of positive squares in 8 ways, for example, as 7683984 + 69622336 = 2772^2 + 8344^2 .

It is a super-2 number, since 2×77306320² = 11952534223884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77306321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1885500 + ... + 1885540.

Almost surely, 2^77306320 is an apocalyptic number.

77306320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77306320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118445544).

77306320 is an abundant number, since it is smaller than the sum of its proper divisors (159584768).

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

77306320 is a wasteful number, since it uses less digits than its factorization.

77306320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

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

The square root of 77306320 is about 8792.4012647285. The cubic root of 77306320 is about 425.9954887956.

Adding to 77306320 its reverse (2360377), we get a palindrome (79666697).

The spelling of 77306320 in words is "seventy-seven million, three hundred six thousand, three hundred twenty".