876480 has 112 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 209920.

The previous prime is 876479. The next prime is 876481. The reversal of 876480 is 84678.

It is an interprime number because it is at equal distance from previous prime (876479) and next prime (876481).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 876480.

It is not an unprimeable number, because it can be changed into a prime (876481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10519 + ... + 10601.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁸⁷⁶⁴⁸⁰ is an apocalyptic number.

876480 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 876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

876480 is an abundant number, since it is smaller than the sum of its proper divisors (2195904).

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

876480 is a wasteful number, since it uses less digits than its factorization.

876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 876480 is about 936.2051057327. The cubic root of 876480 is about 95.7004552039.

The spelling of 876480 in words is "eight hundred seventy-six thousand, four hundred eighty".