823488768 has 180 divisors, whose sum is σ = 2481154368. Its totient is φ = 271641600.

The previous prime is 823488749. The next prime is 823488769. The reversal of 823488768 is 867884328.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (823488769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3131005 + ... + 3131267.

Almost surely, 2^823488768 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 823488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240577184).

823488768 is an abundant number, since it is smaller than the sum of its proper divisors (1657665600).

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

823488768 is a wasteful number, since it uses less digits than its factorization.

823488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 823488768 is about 28696.4940018811. The cubic root of 823488768 is about 937.3157039330.

The spelling of 823488768 in words is "eight hundred twenty-three million, four hundred eighty-eight thousand, seven hundred sixty-eight".