804767040 has 672 divisors, whose sum is σ = 3651747840. Its totient is φ = 157593600.

The previous prime is 804767039. The next prime is 804767053. The reversal of 804767040 is 40767408.

It is a happy number.

804767040 is a `hidden beast` number, since 80 + 476 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 804766986 and 804767004.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4213345 + ... + 4213535.

Almost surely, 2^804767040 is an apocalyptic number.

804767040 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 804767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825873920).

804767040 is an abundant number, since it is smaller than the sum of its proper divisors (2846980800).

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

804767040 is a wasteful number, since it uses less digits than its factorization.

804767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 804767040 is about 28368.4162406011. The cubic root of 804767040 is about 930.1580029845.

The spelling of 804767040 in words is "eight hundred four million, seven hundred sixty-seven thousand, forty".