7890413328 has 240 divisors, whose sum is σ = 26734955520. Its totient is φ = 2122101504.

The previous prime is 7890413287. The next prime is 7890413357. The reversal of 7890413328 is 8233140987.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3197151 + ... + 3199617.

It is an arithmetic number, because the mean of its divisors is an integer number (111395648).

Almost surely, 2^7890413328 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 7890413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367477760).

7890413328 is an abundant number, since it is smaller than the sum of its proper divisors (18844542192).

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

7890413328 is a wasteful number, since it uses less digits than its factorization.

7890413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7890413328 is about 88827.9985590129. The cubic root of 7890413328 is about 1990.8257583253.

The spelling of 7890413328 in words is "seven billion, eight hundred ninety million, four hundred thirteen thousand, three hundred twenty-eight".