7774413120 has 378 divisors, whose sum is σ = 28162351854. Its totient is φ = 1968445440.

The previous prime is 7774413113. The next prime is 7774413121. The reversal of 7774413120 is 213144777.

It can be written as a sum of positive squares in 3 ways, for example, as 2127792384 + 5646620736 = 46128^2 + 75144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7774413121) 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 53 ways as a sum of consecutive naturals, for example, 146687014 + ... + 146687066.

Almost surely, 2^7774413120 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 7774413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081175927).

7774413120 is an abundant number, since it is smaller than the sum of its proper divisors (20387938734).

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

7774413120 is a wasteful number, since it uses less digits than its factorization.

7774413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 7774413120 is about 88172.6324887717. The cubic root of 7774413120 is about 1981.0215726190.

Adding to 7774413120 its reverse (213144777), we get a palindrome (7987557897).

The spelling of 7774413120 in words is "seven billion, seven hundred seventy-four million, four hundred thirteen thousand, one hundred twenty".