804076304578560 has 1344 divisors, whose sum is σ = 3298407092547840. Its totient is φ = 186283358945280.

The previous prime is 804076304578553. The next prime is 804076304578579. The reversal of 804076304578560 is 65875403670408.

804076304578560 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 7 + 6 + 3 + 0 + 4 + 578 + 56 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1649512465 + ... + 1649999855.

It is an arithmetic number, because the mean of its divisors is an integer number (2454171943860).

Almost surely, 2^{804076304578560} is an apocalyptic number.

804076304578560 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 804076304578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649203546273920).

804076304578560 is an abundant number, since it is smaller than the sum of its proper divisors (2494330787969280).

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

804076304578560 is a wasteful number, since it uses less digits than its factorization.

804076304578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487466 (or 487431 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 804076304578560 in words is "eight hundred four trillion, seventy-six billion, three hundred four million, five hundred seventy-eight thousand, five hundred sixty".