7893156480 has 256 divisors, whose sum is σ = 27538237440. Its totient is φ = 1907118080.

The previous prime is 7893156473. The next prime is 7893156503. The reversal of 7893156480 is 846513987.

It is a super-3 number, since 3×7893156480³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10622989 + ... + 10623731.

It is an arithmetic number, because the mean of its divisors is an integer number (107571240).

Almost surely, 2^7893156480 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 7893156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769118720).

7893156480 is an abundant number, since it is smaller than the sum of its proper divisors (19645080960).

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

7893156480 is a wasteful number, since it uses less digits than its factorization.

7893156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 7893156480 is about 88843.4380244259. The cubic root of 7893156480 is about 1991.0564393087.

The spelling of 7893156480 in words is "seven billion, eight hundred ninety-three million, one hundred fifty-six thousand, four hundred eighty".