7890960 has 240 divisors, whose sum is σ = 31551552. Its totient is φ = 1612800.

The previous prime is 7890959. The next prime is 7890979. The reversal of 7890960 is 690987.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 129330 + ... + 129390.

Almost surely, 2^7890960 is an apocalyptic number.

7890960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775776).

7890960 is an abundant number, since it is smaller than the sum of its proper divisors (23660592).

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

7890960 is a wasteful number, since it uses less digits than its factorization.

7890960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 7890960 is about 2809.0852603650. The cubic root of 7890960 is about 199.0871734099.

The spelling of 7890960 in words is "seven million, eight hundred ninety thousand, nine hundred sixty".