803788160 has 288 divisors, whose sum is σ = 2392344720. Its totient is φ = 257402880.

The previous prime is 803788151. The next prime is 803788187. The reversal of 803788160 is 61887308.

803788160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11320925 + ... + 11320995.

Almost surely, 2^803788160 is an apocalyptic number.

803788160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196172360).

803788160 is an abundant number, since it is smaller than the sum of its proper divisors (1588556560).

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

803788160 is a wasteful number, since it uses less digits than its factorization.

803788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 803788160 is about 28351.1580010412. The cubic root of 803788160 is about 929.7807167892.

The spelling of 803788160 in words is "eight hundred three million, seven hundred eighty-eight thousand, one hundred sixty".