804793764000 has 384 divisors, whose sum is σ = 2692365661440. Its totient is φ = 210083328000.

The previous prime is 804793763981. The next prime is 804793764023. The reversal of 804793764000 is 467397408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 344074831 + ... + 344077169.

It is an arithmetic number, because the mean of its divisors is an integer number (7011368910).

Almost surely, 2^804793764000 is an apocalyptic number.

804793764000 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 804793764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346182830720).

804793764000 is an abundant number, since it is smaller than the sum of its proper divisors (1887571897440).

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

804793764000 is a wasteful number, since it uses less digits than its factorization.

804793764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 804793764000 in words is "eight hundred four billion, seven hundred ninety-three million, seven hundred sixty-four thousand".