803727360 has 576 divisors, whose sum is σ = 3219652800. Its totient is φ = 191102976.

The previous prime is 803727349. The next prime is 803727361. The reversal of 803727360 is 63727308.

803727360 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 (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803727361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42301431 + ... + 42301449.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^803727360 is an apocalyptic number.

803727360 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 803727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609826400).

803727360 is an abundant number, since it is smaller than the sum of its proper divisors (2415925440).

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

803727360 is a wasteful number, since it uses less digits than its factorization.

803727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 803727360 is about 28350.0857141561. The cubic root of 803727360 is about 929.7572727626.

The spelling of 803727360 in words is "eight hundred three million, seven hundred twenty-seven thousand, three hundred sixty".