823680000 has 660 divisors, whose sum is σ = 3491576088. Its totient is φ = 184320000.

The previous prime is 823679999. The next prime is 823680019. The reversal of 823680000 is 86328.

It is a tau number, because it is divible by the number of its divisors (660).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63359994 + ... + 63360006.

Almost surely, 2^823680000 is an apocalyptic number.

823680000 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 823680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745788044).

823680000 is an abundant number, since it is smaller than the sum of its proper divisors (2667896088).

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

823680000 is a wasteful number, since it uses less digits than its factorization.

823680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 823680000 is about 28699.8257834434. The cubic root of 823680000 is about 937.3882533474.

The spelling of 823680000 in words is "eight hundred twenty-three million, six hundred eighty thousand".