876720 has 80 divisors (see below), whose sum is σ = 2937312. Its totient is φ = 215040.

The previous prime is 876719. The next prime is 876721. The reversal of 876720 is 27678.

It is an interprime number because it is at equal distance from previous prime (876719) and next prime (876721).

It is a tau number, because it is divible by the number of its divisors (80).

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 (876721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2980 + ... + 3260.

2⁸⁷⁶⁷²⁰ is an apocalyptic number.

876720 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 876720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468656).

876720 is an abundant number, since it is smaller than the sum of its proper divisors (2060592).

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

876720 is a wasteful number, since it uses less digits than its factorization.

876720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 876720 is about 936.3332740002. Note that the first 3 decimals coincide. The cubic root of 876720 is about 95.7091893880.

It can be divided in two parts, 876 and 720, that added together give a triangular number (1596 = T₅₆).

The spelling of 876720 in words is "eight hundred seventy-six thousand, seven hundred twenty".