809671680 has 176 divisors, whose sum is σ = 2877918240. Its totient is φ = 215875584.

The previous prime is 809671673. The next prime is 809671697. The reversal of 809671680 is 86176908.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 135312 + ... + 141168.

Almost surely, 2^809671680 is an apocalyptic number.

809671680 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 809671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438959120).

809671680 is an abundant number, since it is smaller than the sum of its proper divisors (2068246560).

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

809671680 is a wasteful number, since it uses less digits than its factorization.

809671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 809671680 is about 28454.7303624547. The cubic root of 809671680 is about 932.0437882746.

The spelling of 809671680 in words is "eight hundred nine million, six hundred seventy-one thousand, six hundred eighty".