7803640 has 64 divisors (see below), whose sum is σ = 19404000. Its totient is φ = 2806272.

The previous prime is 7803619. The next prime is 7803643. The reversal of 7803640 is 463087.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 7803599 and 7803608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7803643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22186 + ... + 22534.

Almost surely, 2^7803640 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 7803640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9702000).

7803640 is an abundant number, since it is smaller than the sum of its proper divisors (11600360).

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

7803640 is a wasteful number, since it uses less digits than its factorization.

7803640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7803640 is about 2793.4995972794. The cubic root of 7803640 is about 198.3500931313.

The spelling of 7803640 in words is "seven million, eight hundred three thousand, six hundred forty".