7889515920 has 960 divisors, whose sum is σ = 33960326400. Its totient is φ = 1612431360.

The previous prime is 7889515891. The next prime is 7889515937. The reversal of 7889515920 is 295159887.

It is a super-2 number, since 2×7889515920² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72380826 + ... + 72380934.

It is an arithmetic number, because the mean of its divisors is an integer number (35375340).

Almost surely, 2^7889515920 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 7889515920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980163200).

7889515920 is an abundant number, since it is smaller than the sum of its proper divisors (26070810480).

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

7889515920 is a wasteful number, since it uses less digits than its factorization.

7889515920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The square root of 7889515920 is about 88822.9470350990. The cubic root of 7889515920 is about 1990.7502806275.

The spelling of 7889515920 in words is "seven billion, eight hundred eighty-nine million, five hundred fifteen thousand, nine hundred twenty".