804978720 has 288 divisors, whose sum is σ = 3381460992. Its totient is φ = 169814016.

The previous prime is 804978703. The next prime is 804978743. The reversal of 804978720 is 27879408.

804978720 is a `hidden beast` number, since 80 + 497 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127969 + ... + 134111.

It is an arithmetic number, because the mean of its divisors is an integer number (11741184).

Almost surely, 2^804978720 is an apocalyptic number.

804978720 is a gapful number since it is divisible by the number (80) 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 804978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690730496).

804978720 is an abundant number, since it is smaller than the sum of its proper divisors (2576482272).

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

804978720 is a wasteful number, since it uses less digits than its factorization.

804978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 804978720 is about 28372.1469050194. The cubic root of 804978720 is about 930.2395498071.

The spelling of 804978720 in words is "eight hundred four million, nine hundred seventy-eight thousand, seven hundred twenty".