810413680 has 40 divisors (see below), whose sum is σ = 1885482000. Its totient is φ = 323947008.

The previous prime is 810413663. The next prime is 810413683. The reversal of 810413680 is 86314018.

810413680 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 (40).

It is a super-2 number, since 2×810413680² = 1313540665462284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810413683) 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, 171996 + ... + 176644.

It is an arithmetic number, because the mean of its divisors is an integer number (47137050).

Almost surely, 2^810413680 is an apocalyptic number.

810413680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

810413680 is an abundant number, since it is smaller than the sum of its proper divisors (1075068320).

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

810413680 is a wasteful number, since it uses less digits than its factorization.

810413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 810413680 is about 28467.7656306216. The cubic root of 810413680 is about 932.3284161294.

Adding to 810413680 its reverse (86314018), we get a palindrome (896727698).

The spelling of 810413680 in words is "eight hundred ten million, four hundred thirteen thousand, six hundred eighty".