805028832 has 144 divisors (see below), whose sum is σ = 2428013952. Its totient is φ = 252564480.

The previous prime is 805028821. The next prime is 805028839. The reversal of 805028832 is 238820508.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805028839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329118 + ... + 331554.

It is an arithmetic number, because the mean of its divisors is an integer number (16861208).

Almost surely, 2^805028832 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 805028832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214006976).

805028832 is an abundant number, since it is smaller than the sum of its proper divisors (1622985120).

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

805028832 is a wasteful number, since it uses less digits than its factorization.

805028832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 805028832 is about 28373.0300109100. The cubic root of 805028832 is about 930.2588526764.

The spelling of 805028832 in words is "eight hundred five million, twenty-eight thousand, eight hundred thirty-two".