804881952 has 144 divisors (see below), whose sum is σ = 2753674560. Its totient is φ = 217852416.

The previous prime is 804881939. The next prime is 804881963. The reversal of 804881952 is 259188408.

It is a happy number.

804881952 is a `hidden beast` number, since 80 + 488 + 1 + 95 + 2 = 666.

804881952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 804881898 and 804881907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27798 + ... + 48810.

It is an arithmetic number, because the mean of its divisors is an integer number (19122740).

Almost surely, 2^804881952 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 804881952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376837280).

804881952 is an abundant number, since it is smaller than the sum of its proper divisors (1948792608).

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

804881952 is a wasteful number, since it uses less digits than its factorization.

804881952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21055 (or 21044 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 804881952 is about 28370.4415192996. The cubic root of 804881952 is about 930.2022730337.

It can be divided in two parts, 8048 and 81952, that added together give a square (90000 = 300²).

The spelling of 804881952 in words is "eight hundred four million, eight hundred eighty-one thousand, nine hundred fifty-two".