7603840000 has 165 divisors, whose sum is σ = 19170095637. Its totient is φ = 3013632000.

The previous prime is 7603839979. The next prime is 7603840007. The reversal of 7603840000 is 483067.

The square root of 7603840000 is 87200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4417463296 + 3186376704 = 66464^2 + 56448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7603840007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 69759946 + ... + 69760054.

Almost surely, 2^7603840000 is an apocalyptic number.

7603840000 is the 87200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7603840000

7603840000 is an abundant number, since it is smaller than the sum of its proper divisors (11566255637).

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

7603840000 is an frugal number, since it uses more digits than its factorization.

7603840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The cubic root of 7603840000 is about 1966.4262210431.

The spelling of 7603840000 in words is "seven billion, six hundred three million, eight hundred forty thousand".