804096792576 has 2160 divisors, whose sum is σ = 3373595545320. Its totient is φ = 188024094720.

The previous prime is 804096792563. The next prime is 804096792607. The reversal of 804096792576 is 675297690408.

804096792576 is a `hidden beast` number, since 80 + 409 + 67 + 9 + 25 + 76 = 666.

804096792576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 34960730101 + ... + 34960730123.

Almost surely, 2^804096792576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804096792576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686797772660).

804096792576 is an abundant number, since it is smaller than the sum of its proper divisors (2569498752744).

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

804096792576 is a wasteful number, since it uses less digits than its factorization.

804096792576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 804096792576 in words is "eight hundred four billion, ninety-six million, seven hundred ninety-two thousand, five hundred seventy-six".