823125760 has 72 divisors (see below), whose sum is σ = 1991477376. Its totient is φ = 325939200.

The previous prime is 823125749. The next prime is 823125761. The reversal of 823125760 is 67521328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823125761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126097 + ... + 132463.

It is an arithmetic number, because the mean of its divisors is an integer number (27659408).

Almost surely, 2^823125760 is an apocalyptic number.

823125760 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 823125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995738688).

823125760 is an abundant number, since it is smaller than the sum of its proper divisors (1168351616).

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

823125760 is a wasteful number, since it uses less digits than its factorization.

823125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 823125760 is about 28690.1683508480. The cubic root of 823125760 is about 937.1779554006.

The spelling of 823125760 in words is "eight hundred twenty-three million, one hundred twenty-five thousand, seven hundred sixty".