803413680 has 160 divisors (see below), whose sum is σ = 2607422400. Its totient is φ = 204374016.

The previous prime is 803413643. The next prime is 803413703. The reversal of 803413680 is 86314308.

It is a super-2 number, since 2×803413680² = 1290947082422284800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 618792 + ... + 620088.

It is an arithmetic number, because the mean of its divisors is an integer number (16296390).

Almost surely, 2^803413680 is an apocalyptic number.

803413680 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 803413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303711200).

803413680 is an abundant number, since it is smaller than the sum of its proper divisors (1804008720).

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

803413680 is a wasteful number, since it uses less digits than its factorization.

803413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 803413680 is about 28344.5529158602. The cubic root of 803413680 is about 929.6363013050.

Adding to 803413680 its reverse (86314308), we get a palindrome (889727988).

The spelling of 803413680 in words is "eight hundred three million, four hundred thirteen thousand, six hundred eighty".