7282915600 has 135 divisors (see below), whose sum is σ = 18661342831. Its totient is φ = 2730880000.

The previous prime is 7282915571. The next prime is 7282915603. The reversal of 7282915600 is 65192827.

The square root of 7282915600 is 85340.

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

It can be written as a sum of positive squares in 4 ways, for example, as 170354704 + 7112560896 = 13052^2 + 84336^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7282915603) 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 26 ways as a sum of consecutive naturals, for example, 29015475 + ... + 29015725.

Almost surely, 2^7282915600 is an apocalyptic number.

7282915600 is the 85340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7282915600

7282915600 is an abundant number, since it is smaller than the sum of its proper divisors (11378427231).

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

7282915600 is a wasteful number, since it uses less digits than its factorization.

7282915600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The cubic root of 7282915600 is about 1938.3629155172.

The spelling of 7282915600 in words is "seven billion, two hundred eighty-two million, nine hundred fifteen thousand, six hundred".