7890688 has 36 divisors (see below), whose sum is σ = 16969288. Its totient is φ = 3640320.

The previous prime is 7890683. The next prime is 7890691. The reversal of 7890688 is 8860987.

It is a super-2 number, since 2×7890688² = 124525914226688, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890683) 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, 2143 + ... + 4513.

Almost surely, 2^7890688 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 7890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484644).

7890688 is an abundant number, since it is smaller than the sum of its proper divisors (9078600).

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

7890688 is a wasteful number, since it uses less digits than its factorization.

7890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 7890688 is about 2809.0368456110. The cubic root of 7890688 is about 199.0848858837.

Subtracting 7890688 from its reverse (8860987), we obtain a cube (970299 = 99³).

The spelling of 7890688 in words is "seven million, eight hundred ninety thousand, six hundred eighty-eight".