823768704 has 320 divisors, whose sum is σ = 2772506880. Its totient is φ = 240537600.

The previous prime is 823768691. The next prime is 823768721. The reversal of 823768704 is 407867328.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 823768704.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3535372 + ... + 3535604.

It is an arithmetic number, because the mean of its divisors is an integer number (8664084).

Almost surely, 2^823768704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386253440).

823768704 is an abundant number, since it is smaller than the sum of its proper divisors (1948738176).

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

823768704 is a wasteful number, since it uses less digits than its factorization.

823768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 823768704 is about 28701.3711170738. The cubic root of 823768704 is about 937.4219019743.

The spelling of 823768704 in words is "eight hundred twenty-three million, seven hundred sixty-eight thousand, seven hundred four".