806884960 has 144 divisors (see below), whose sum is σ = 2241645840. Its totient is φ = 273638400.

The previous prime is 806884933. The next prime is 806884973. The reversal of 806884960 is 69488608.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791331 + ... + 792349.

It is an arithmetic number, because the mean of its divisors is an integer number (15566985).

Almost surely, 2^806884960 is an apocalyptic number.

806884960 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 806884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120822920).

806884960 is an abundant number, since it is smaller than the sum of its proper divisors (1434760880).

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

806884960 is a wasteful number, since it uses less digits than its factorization.

806884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 806884960 is about 28405.7205506215. The cubic root of 806884960 is about 930.9732594502.

The spelling of 806884960 in words is "eight hundred six million, eight hundred eighty-four thousand, nine hundred sixty".