873279008448 has 336 divisors, whose sum is σ = 2906700572160. Its totient is φ = 226498314240.

The previous prime is 873279008447. The next prime is 873279008479. The reversal of 873279008448 is 844800972378.

873279008448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 873279008391 and 873279008400.

It is not an unprimeable number, because it can be changed into a prime (873279008447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125054365 + ... + 125061347.

It is an arithmetic number, because the mean of its divisors is an integer number (8650894560).

Almost surely, 2^873279008448 is an apocalyptic number.

873279008448 is a gapful number since it is divisible by the number (88) 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 873279008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453350286080).

873279008448 is an abundant number, since it is smaller than the sum of its proper divisors (2033421563712).

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

873279008448 is a wasteful number, since it uses less digits than its factorization.

873279008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 873279008448 in words is "eight hundred seventy-three billion, two hundred seventy-nine million, eight thousand, four hundred forty-eight".