803726307680 has 192 divisors, whose sum is σ = 1984076337600. Its totient is φ = 307378520064.

The previous prime is 803726307641. The next prime is 803726307689. The reversal of 803726307680 is 86703627308.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803726307689) 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 31 ways as a sum of consecutive naturals, for example, 178089104 + ... + 178093616.

It is an arithmetic number, because the mean of its divisors is an integer number (10333730925).

Almost surely, 2^803726307680 is an apocalyptic number.

803726307680 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 803726307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992038168800).

803726307680 is an abundant number, since it is smaller than the sum of its proper divisors (1180350029920).

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

803726307680 is a wasteful number, since it uses less digits than its factorization.

803726307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 803726307680 in words is "eight hundred three billion, seven hundred twenty-six million, three hundred seven thousand, six hundred eighty".