7890516960 has 48 divisors (see below), whose sum is σ = 24855129936. Its totient is φ = 2104137728.

The previous prime is 7890516913. The next prime is 7890516967. The reversal of 7890516960 is 696150987.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890516967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8218809 + ... + 8219768.

It is an arithmetic number, because the mean of its divisors is an integer number (517815207).

Almost surely, 2^7890516960 is an apocalyptic number.

It is an amenable number.

7890516960 is an abundant number, since it is smaller than the sum of its proper divisors (16964612976).

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

7890516960 is a wasteful number, since it uses less digits than its factorization.

7890516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16438595 (or 16438587 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 7890516960 is about 88828.5818866878. The cubic root of 7890516960 is about 1990.8344740644.

The spelling of 7890516960 in words is "seven billion, eight hundred ninety million, five hundred sixteen thousand, nine hundred sixty".