804310128 has 320 divisors, whose sum is σ = 2618880000. Its totient is φ = 235146240.

The previous prime is 804310123. The next prime is 804310163. The reversal of 804310128 is 821013408.

It is a super-3 number, since 3×804310128³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804310121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7378938 + ... + 7379046.

It is an arithmetic number, because the mean of its divisors is an integer number (8184000).

Almost surely, 2^804310128 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 804310128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440000).

804310128 is an abundant number, since it is smaller than the sum of its proper divisors (1814569872).

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

804310128 is a wasteful number, since it uses less digits than its factorization.

804310128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 804310128 is about 28360.3619158853. The cubic root of 804310128 is about 929.9819351330.

The spelling of 804310128 in words is "eight hundred four million, three hundred ten thousand, one hundred twenty-eight".