806485680 has 640 divisors, whose sum is σ = 3739760640. Its totient is φ = 154275840.

The previous prime is 806485651. The next prime is 806485699. The reversal of 806485680 is 86584608.

806485680 is a `hidden beast` number, since 80 + 6 + 4 + 8 + 568 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2161974 + ... + 2162346.

It is an arithmetic number, because the mean of its divisors is an integer number (5843376).

Almost surely, 2^806485680 is an apocalyptic number.

806485680 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 806485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869880320).

806485680 is an abundant number, since it is smaller than the sum of its proper divisors (2933274960).

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

806485680 is a wasteful number, since it uses less digits than its factorization.

806485680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 806485680 is about 28398.6915191528. The cubic root of 806485680 is about 930.8196727754.

The spelling of 806485680 in words is "eight hundred six million, four hundred eighty-five thousand, six hundred eighty".