7663840 has 48 divisors (see below), whose sum is σ = 19066320. Its totient is φ = 2903040.

The previous prime is 7663829. The next prime is 7663871. The reversal of 7663840 is 483667.

It is a super-3 number, since 3×7663840³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7663796 and 7663805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780 + ... + 4300.

It is an arithmetic number, because the mean of its divisors is an integer number (397215).

Almost surely, 2^7663840 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 7663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533160).

7663840 is an abundant number, since it is smaller than the sum of its proper divisors (11402480).

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

7663840 is a wasteful number, since it uses less digits than its factorization.

7663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 7663840 is about 2768.3641378980. The cubic root of 7663840 is about 197.1584868736.

The spelling of 7663840 in words is "seven million, six hundred sixty-three thousand, eight hundred forty".