7305023440 has 320 divisors, whose sum is σ = 20946159360. Its totient is φ = 2332753920.

The previous prime is 7305023431. The next prime is 7305023483. The reversal of 7305023440 is 443205037.

It is a junction number, because it is equal to n+sod(n) for n = 7305023399 and 7305023408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32180607 + ... + 32180833.

It is an arithmetic number, because the mean of its divisors is an integer number (65456748).

Almost surely, 2^7305023440 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 7305023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473079680).

7305023440 is an abundant number, since it is smaller than the sum of its proper divisors (13641135920).

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

7305023440 is a wasteful number, since it uses less digits than its factorization.

7305023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 7305023440 is about 85469.4298565282. The cubic root of 7305023440 is about 1940.3222832274.

Adding to 7305023440 its reverse (443205037), we get a palindrome (7748228477).

The spelling of 7305023440 in words is "seven billion, three hundred five million, twenty-three thousand, four hundred forty".