803996160 has 320 divisors, whose sum is σ = 2903814144. Its totient is φ = 188006400.

The previous prime is 803996131. The next prime is 803996161. The reversal of 803996160 is 61699308.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (803996161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2618727 + ... + 2619033.

Almost surely, 2^803996160 is an apocalyptic number.

803996160 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 803996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451907072).

803996160 is an abundant number, since it is smaller than the sum of its proper divisors (2099817984).

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

803996160 is a wasteful number, since it uses less digits than its factorization.

803996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 803996160 is about 28354.8260442557. The cubic root of 803996160 is about 929.8609110988.

The spelling of 803996160 in words is "eight hundred three million, nine hundred ninety-six thousand, one hundred sixty".