823079348260 has 192 divisors, whose sum is σ = 1961399784960. Its totient is φ = 287853096960.

The previous prime is 823079348251. The next prime is 823079348263. The reversal of 823079348260 is 62843970328.

It is a super-2 number, since 2×823079348260² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 823079348198 and 823079348207.

It is not an unprimeable number, because it can be changed into a prime (823079348263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511546336 + ... + 511547944.

It is an arithmetic number, because the mean of its divisors is an integer number (10215623880).

Almost surely, 2^823079348260 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 823079348260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980699892480).

823079348260 is an abundant number, since it is smaller than the sum of its proper divisors (1138320436700).

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

823079348260 is a wasteful number, since it uses less digits than its factorization.

823079348260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 823079348260 in words is "eight hundred twenty-three billion, seventy-nine million, three hundred forty-eight thousand, two hundred sixty".