879538176 has 260 divisors, whose sum is σ = 2878186344. Its totient is φ = 265420800.

The previous prime is 879538171. The next prime is 879538189. The reversal of 879538176 is 671835978.

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

Its product of digits (2540160) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (879538171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649416 + ... + 3649656.

Almost surely, 2^879538176 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 879538176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439093172).

879538176 is an abundant number, since it is smaller than the sum of its proper divisors (1998648168).

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

879538176 is a wasteful number, since it uses less digits than its factorization.

879538176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 879538176 is about 29657.0088849162. The cubic root of 879538176 is about 958.1163062695.

It can be divided in two parts, 8795 and 38176, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 879538176 in words is "eight hundred seventy-nine million, five hundred thirty-eight thousand, one hundred seventy-six".