879953760 has 288 divisors, whose sum is σ = 3583530720. Its totient is φ = 201083904.

The previous prime is 879953759. The next prime is 879953771. The reversal of 879953760 is 67359978.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 879953697 and 879953706.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 209602 + ... + 213758.

It is an arithmetic number, because the mean of its divisors is an integer number (12442815).

Almost surely, 2^879953760 is an apocalyptic number.

879953760 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 879953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791765360).

879953760 is an abundant number, since it is smaller than the sum of its proper divisors (2703576960).

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

879953760 is a wasteful number, since it uses less digits than its factorization.

879953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 879953760 is about 29664.0145631032. The cubic root of 879953760 is about 958.2671866296.

The spelling of 879953760 in words is "eight hundred seventy-nine million, nine hundred fifty-three thousand, seven hundred sixty".