879912 has 72 divisors (see below), whose sum is σ = 2645370. Its totient is φ = 264000.

The previous prime is 879881. The next prime is 879917. The reversal of 879912 is 219978.

It is a happy number.

879912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 352836 = 726^2 + 594^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (879917) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8662 + ... + 8762.

2⁸⁷⁹⁹¹² 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 879912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322685).

879912 is an abundant number, since it is smaller than the sum of its proper divisors (1765458).

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

879912 is a wasteful number, since it uses less digits than its factorization.

879912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 879912 is about 938.0362466344. The cubic root of 879912 is about 95.8252027549.

879912 divided by its sum of digits (36) gives a palindrome (24442).

Multiplying 879912 by its reverse (219978), we get a square (193561281936 = 439956²).

It can be divided in two parts, 87 and 9912, that added together give a palindrome (9999).

The spelling of 879912 in words is "eight hundred seventy-nine thousand, nine hundred twelve".