804873888 has 384 divisors, whose sum is σ = 2997388800. Its totient is φ = 204374016.

The previous prime is 804873887. The next prime is 804873899. The reversal of 804873888 is 888378408.

804873888 is a `hidden beast` number, since 80 + 487 + 3 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (804873887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2279920 + ... + 2280272.

It is an arithmetic number, because the mean of its divisors is an integer number (7805700).

Almost surely, 2^804873888 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 804873888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498694400).

804873888 is an abundant number, since it is smaller than the sum of its proper divisors (2192514912).

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

804873888 is a wasteful number, since it uses less digits than its factorization.

804873888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 804873888 is about 28370.2993991956. The cubic root of 804873888 is about 930.1991665011.

The spelling of 804873888 in words is "eight hundred four million, eight hundred seventy-three thousand, eight hundred eighty-eight".