804969088 has 256 divisors, whose sum is σ = 2157373440. Its totient is φ = 289935360.

The previous prime is 804969079. The next prime is 804969107. The reversal of 804969088 is 880969408.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12014431 + ... + 12014497.

It is an arithmetic number, because the mean of its divisors is an integer number (8427240).

Almost surely, 2^804969088 is an apocalyptic number.

804969088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078686720).

804969088 is an abundant number, since it is smaller than the sum of its proper divisors (1352404352).

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

804969088 is a wasteful number, since it uses less digits than its factorization.

804969088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 804969088 is about 28371.9771605717. The cubic root of 804969088 is about 930.2358395214.

The spelling of 804969088 in words is "eight hundred four million, nine hundred sixty-nine thousand, eighty-eight".