804314784 has 192 divisors, whose sum is σ = 2712213504. Its totient is φ = 202853376.

The previous prime is 804314779. The next prime is 804314789. The reversal of 804314784 is 487413408.

It is an interprime number because it is at equal distance from previous prime (804314779) and next prime (804314789).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (804314789) 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 31 ways as a sum of consecutive naturals, for example, 198927 + ... + 202929.

It is an arithmetic number, because the mean of its divisors is an integer number (14126112).

Almost surely, 2^804314784 is an apocalyptic number.

804314784 is a gapful number since it is divisible by the number (84) 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 804314784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356106752).

804314784 is an abundant number, since it is smaller than the sum of its proper divisors (1907898720).

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

804314784 is a wasteful number, since it uses less digits than its factorization.

804314784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 804314784 is about 28360.4440021661. Note that the first 3 decimals coincide. The cubic root of 804314784 is about 929.9837296263.

The spelling of 804314784 in words is "eight hundred four million, three hundred fourteen thousand, seven hundred eighty-four".