879600 has 60 divisors (see below), whose sum is σ = 2821496. Its totient is φ = 234240.

The previous prime is 879583. The next prime is 879607. The reversal of 879600 is 6978.

It is a happy number.

879600 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879607) by changing a digit.

879600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 1566.

2⁸⁷⁹⁶⁰⁰ is an apocalyptic number.

879600 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 879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410748).

879600 is an abundant number, since it is smaller than the sum of its proper divisors (1941896).

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

879600 is a wasteful number, since it uses less digits than its factorization.

879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 879600 is about 937.8699270155. The cubic root of 879600 is about 95.8138754867.

The spelling of 879600 in words is "eight hundred seventy-nine thousand, six hundred".