803874560 has 72 divisors (see below), whose sum is σ = 1930476240. Its totient is φ = 320724992.

The previous prime is 803874559. The next prime is 803874569. The reversal of 803874560 is 65478308.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803874569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843044 + ... + 843996.

It is an arithmetic number, because the mean of its divisors is an integer number (26812170).

Almost surely, 2^803874560 is an apocalyptic number.

803874560 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 803874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965238120).

803874560 is an abundant number, since it is smaller than the sum of its proper divisors (1126601680).

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

803874560 is an equidigital number, since it uses as much as digits as its factorization.

803874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 803874560 is about 28352.6817073800. The cubic root of 803874560 is about 929.8140299513.

The spelling of 803874560 in words is "eight hundred three million, eight hundred seventy-four thousand, five hundred sixty".