823855680 has 84 divisors (see below), whose sum is σ = 2833730172. Its totient is φ = 219694080.

The previous prime is 823855663. The next prime is 823855729. The reversal of 823855680 is 86558328.

It is a happy number.

823855680 is a `hidden beast` number, since 8 + 2 + 3 + 85 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353139264 + 470716416 = 18792^2 + 21696^2 .

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 11 ways as a sum of consecutive naturals, for example, 140151 + ... + 145910.

It is an arithmetic number, because the mean of its divisors is an integer number (33734883).

Almost surely, 2^823855680 is an apocalyptic number.

823855680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823855680 is an abundant number, since it is smaller than the sum of its proper divisors (2009874492).

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

823855680 is a wasteful number, since it uses less digits than its factorization.

823855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286084 (or 286071 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 823855680 is about 28702.8862660186. The cubic root of 823855680 is about 937.4548927631.

The spelling of 823855680 in words is "eight hundred twenty-three million, eight hundred fifty-five thousand, six hundred eighty".