810895680 has 672 divisors, whose sum is σ = 3518611200. Its totient is φ = 167215104.

The previous prime is 810895669. The next prime is 810895693. The reversal of 810895680 is 86598018.

810895680 is a `hidden beast` number, since 8 + 1 + 0 + 89 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11108124 + ... + 11108196.

Almost surely, 2^810895680 is an apocalyptic number.

810895680 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 810895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759305600).

810895680 is an abundant number, since it is smaller than the sum of its proper divisors (2707715520).

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

810895680 is a wasteful number, since it uses less digits than its factorization.

810895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 810895680 is about 28476.2300875660. The cubic root of 810895680 is about 932.5132160844.

The spelling of 810895680 in words is "eight hundred ten million, eight hundred ninety-five thousand, six hundred eighty".