879147360 has 288 divisors, whose sum is σ = 3692969280. Its totient is φ = 185462784.

The previous prime is 879147359. The next prime is 879147431. The reversal of 879147360 is 63741978.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127686 + ... + 134394.

It is an arithmetic number, because the mean of its divisors is an integer number (12822810).

Almost surely, 2^879147360 is an apocalyptic number.

879147360 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 879147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846484640).

879147360 is an abundant number, since it is smaller than the sum of its proper divisors (2813821920).

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

879147360 is a wasteful number, since it uses less digits than its factorization.

879147360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 879147360 is about 29650.4192213196. The cubic root of 879147360 is about 957.9743747168.

The spelling of 879147360 in words is "eight hundred seventy-nine million, one hundred forty-seven thousand, three hundred sixty".