7803648 has 72 divisors (see below), whose sum is σ = 23097200. Its totient is φ = 2598912.

The previous prime is 7803643. The next prime is 7803659. The reversal of 7803648 is 8463087.

7803648 is a `hidden beast` number, since 7 + 8 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7803643) 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, 6348 + ... + 7476.

Almost surely, 2^7803648 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 7803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548600).

7803648 is an abundant number, since it is smaller than the sum of its proper divisors (15293552).

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

7803648 is a wasteful number, since it uses less digits than its factorization.

7803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7803648 is about 2793.5010291747. The cubic root of 7803648 is about 198.3501609117.

The spelling of 7803648 in words is "seven million, eight hundred three thousand, six hundred forty-eight".