803128608 has 144 divisors (see below), whose sum is σ = 2385845280. Its totient is φ = 265752576.

The previous prime is 803128607. The next prime is 803128619. The reversal of 803128608 is 806821308.

It is a tau number, because it is divible by the number of its divisors (144).

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 (803128607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391616 + ... + 1392192.

It is an arithmetic number, because the mean of its divisors is an integer number (16568370).

Almost surely, 2^803128608 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 803128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192922640).

803128608 is an abundant number, since it is smaller than the sum of its proper divisors (1582716672).

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

803128608 is a wasteful number, since it uses less digits than its factorization.

803128608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 803128608 is about 28339.5237786382. The cubic root of 803128608 is about 929.5263352783.

The spelling of 803128608 in words is "eight hundred three million, one hundred twenty-eight thousand, six hundred eight".