773205120 has 192 divisors, whose sum is σ = 2685866040. Its totient is φ = 204963840.

The previous prime is 773205113. The next prime is 773205127. The reversal of 773205120 is 21502377.

It is an interprime number because it is at equal distance from previous prime (773205113) and next prime (773205127).

It can be written as a sum of positive squares in 4 ways, for example, as 545315904 + 227889216 = 23352^2 + 15096^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (773205127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1387882 + ... + 1388438.

Almost surely, 2^773205120 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 773205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342933020).

773205120 is an abundant number, since it is smaller than the sum of its proper divisors (1912660920).

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

773205120 is a wasteful number, since it uses less digits than its factorization.

773205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 773205120 is about 27806.5661310418. The cubic root of 773205120 is about 917.8356178247.

Adding to 773205120 its reverse (21502377), we get a palindrome (794707497).

The spelling of 773205120 in words is "seven hundred seventy-three million, two hundred five thousand, one hundred twenty".