7781227344 has 180 divisors, whose sum is σ = 24332016436. Its totient is φ = 2318976000.

The previous prime is 7781227343. The next prime is 7781227379. The reversal of 7781227344 is 4437221877.

7781227344 is a `hidden beast` number, since 7 + 7 + 81 + 227 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75898944 + 7705328400 = 8712^2 + 87780^2 .

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 7781227344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7781227343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1059204 + ... + 1066524.

Almost surely, 2^7781227344 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 7781227344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166008218).

7781227344 is an abundant number, since it is smaller than the sum of its proper divisors (16550789092).

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

7781227344 is a wasteful number, since it uses less digits than its factorization.

7781227344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7398 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 7781227344 is about 88211.2654030085. The cubic root of 7781227344 is about 1981.6001879001.

The spelling of 7781227344 in words is "seven billion, seven hundred eighty-one million, two hundred twenty-seven thousand, three hundred forty-four".