7890560 has 32 divisors (see below), whose sum is σ = 18864900. Its totient is φ = 3155968.

The previous prime is 7890557. The next prime is 7890563. The reversal of 7890560 is 650987.

It is an interprime number because it is at equal distance from previous prime (7890557) and next prime (7890563).

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 1459264 = 2536^2 + 1208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7890560² = 124521874227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7890560.

It is not an unprimeable number, because it can be changed into a prime (7890563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5525 + ... + 6804.

Almost surely, 2^7890560 is an apocalyptic number.

It is an amenable number.

7890560 is an abundant number, since it is smaller than the sum of its proper divisors (10974340).

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

7890560 is a wasteful number, since it uses less digits than its factorization.

7890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348 (or 12336 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 7890560 is about 2809.0140619086. The cubic root of 7890560 is about 199.0838093826.

The spelling of 7890560 in words is "seven million, eight hundred ninety thousand, five hundred sixty".