804067660800 has 396 divisors, whose sum is σ = 2956783230076. Its totient is φ = 208620748800.

The previous prime is 804067660793. The next prime is 804067660807. The reversal of 804067660800 is 8066760408.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (804067660793) and next prime (804067660807).

It can be written as a sum of positive squares in 6 ways, for example, as 100240625664 + 703827035136 = 316608^2 + 838944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804067660807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8477640 + ... + 8571960.

Almost surely, 2^804067660800 is an apocalyptic number.

804067660800 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 804067660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478391615038).

804067660800 is an abundant number, since it is smaller than the sum of its proper divisors (2152715569276).

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

804067660800 is a wasteful number, since it uses less digits than its factorization.

804067660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94394 (or 94368 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 804067660800 in words is "eight hundred four billion, sixty-seven million, six hundred sixty thousand, eight hundred".