804526560 has 384 divisors, whose sum is σ = 2969809920. Its totient is φ = 203212800.

The previous prime is 804526531. The next prime is 804526573. The reversal of 804526560 is 65625408.

804526560 is a `hidden beast` number, since 80 + 4 + 526 + 56 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11331325 + ... + 11331395.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^804526560 is an apocalyptic number.

804526560 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 804526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

804526560 is an abundant number, since it is smaller than the sum of its proper divisors (2165283360).

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

804526560 is a wasteful number, since it uses less digits than its factorization.

804526560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 804526560 is about 28364.1774074271. The cubic root of 804526560 is about 930.0653440039.

The spelling of 804526560 in words is "eight hundred four million, five hundred twenty-six thousand, five hundred sixty".