803520000 has 500 divisors, whose sum is σ = 3093584736. Its totient is φ = 207360000.

The previous prime is 803519989. The next prime is 803520007. The reversal of 803520000 is 25308.

803520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803520007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919985 + ... + 25920015.

Almost surely, 2^803520000 is an apocalyptic number.

803520000 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 803520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546792368).

803520000 is an abundant number, since it is smaller than the sum of its proper divisors (2290064736).

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

803520000 is an frugal number, since it uses more digits than its factorization.

803520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 803520000 is about 28346.4283464425. The cubic root of 803520000 is about 929.6773073995.

Adding to 803520000 its reverse (25308), we get a palindrome (803545308).

The spelling of 803520000 in words is "eight hundred three million, five hundred twenty thousand".