7893030240 has 144 divisors (see below), whose sum is σ = 27314685216. Its totient is φ = 2075136000.

The previous prime is 7893030203. The next prime is 7893030241. The reversal of 7893030240 is 420303987.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7893030195 and 7893030204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7893030241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63640 + ... + 140840.

It is an arithmetic number, because the mean of its divisors is an integer number (189685314).

Almost surely, 2^7893030240 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 7893030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657342608).

7893030240 is an abundant number, since it is smaller than the sum of its proper divisors (19421654976).

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

7893030240 is a wasteful number, since it uses less digits than its factorization.

7893030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77293 (or 77282 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7893030240 is about 88842.7275583095. The cubic root of 7893030240 is about 1991.0458245309.

The spelling of 7893030240 in words is "seven billion, eight hundred ninety-three million, thirty thousand, two hundred forty".