805675680 has 384 divisors, whose sum is σ = 2993760000. Its totient is φ = 202051584.

The previous prime is 805675657. The next prime is 805675693. The reversal of 805675680 is 86576508.

805675680 is a `hidden beast` number, since 8 + 0 + 567 + 5 + 6 + 80 = 666.

It is a super-2 number, since 2×805675680² = 1298226602686924800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7391466 + ... + 7391574.

It is an arithmetic number, because the mean of its divisors is an integer number (7796250).

Almost surely, 2^805675680 is an apocalyptic number.

805675680 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 805675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496880000).

805675680 is an abundant number, since it is smaller than the sum of its proper divisors (2188084320).

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

805675680 is a wasteful number, since it uses less digits than its factorization.

805675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 805675680 is about 28384.4267160709. The cubic root of 805675680 is about 930.5079431270.

The spelling of 805675680 in words is "eight hundred five million, six hundred seventy-five thousand, six hundred eighty".