803680 has 24 divisors (see below), whose sum is σ = 1899072. Its totient is φ = 321408.

The previous prime is 803669. The next prime is 803687. The reversal of 803680 is 86308.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2352 + ... + 2671.

It is an arithmetic number, because the mean of its divisors is an integer number (79128).

2⁸⁰³⁶⁸⁰ is an apocalyptic number.

803680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803680 is an abundant number, since it is smaller than the sum of its proper divisors (1095392).

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

803680 is a wasteful number, since it uses less digits than its factorization.

803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 803680 is about 896.4820132049. The cubic root of 803680 is about 92.9739010281.

Adding to 803680 its reverse (86308), we get a palindrome (889988).

The spelling of 803680 in words is "eight hundred three thousand, six hundred eighty".