7744000000 has 273 divisors, whose sum is σ = 21277129993. Its totient is φ = 2816000000.

The previous prime is 7743999961. The next prime is 7744000003. The reversal of 7744000000 is 4477.

It is a happy number.

The square root of 7744000000 is 88000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 6784487424 + 959512576 = 82368^2 + 30976^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (7744000003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 703999995 + ... + 704000005.

Almost surely, 2^7744000000 is an apocalyptic number.

7744000000 is the 88000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7744000000

7744000000 is an abundant number, since it is smaller than the sum of its proper divisors (13533129993).

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

7744000000 is an frugal number, since it uses more digits than its factorization.

7744000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The cubic root of 7744000000 is about 1978.4349772995.

Multiplying 7744000000 by its product of nonzero digits (784), we get a square (6071296000000 = 2464000²).

Adding to 7744000000 its reverse (4477), we get a palindrome (7744004477).

The spelling of 7744000000 in words is "seven billion, seven hundred forty-four million", and thus it is an aban number.