879972 has 12 divisors (see below), whose sum is σ = 2053296. Its totient is φ = 293320.

The previous prime is 879961. The next prime is 879973. The reversal of 879972 is 279978.

879972 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (879973) by changing a digit.

879972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36654 + ... + 36677.

It is an arithmetic number, because the mean of its divisors is an integer number (171108).

2⁸⁷⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

879972 is an abundant number, since it is smaller than the sum of its proper divisors (1173324).

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

879972 is a wasteful number, since it uses less digits than its factorization.

879972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73338 (or 73336 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 879972 is about 938.0682277958. The cubic root of 879972 is about 95.8273807687.

The spelling of 879972 in words is "eight hundred seventy-nine thousand, nine hundred seventy-two".