876420 has 60 divisors (see below), whose sum is σ = 2754444. Its totient is φ = 233280.

The previous prime is 876373. The next prime is 876431. The reversal of 876420 is 24678.

876420 = 17³ + 18³ + ... + 43³.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 544644 = 576^2 + 738^2 .

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

It is a super-2 number, since 2×876420² = 1536224032800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is an unprimeable number.

876420 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 19 ways as a sum of consecutive naturals, for example, 1350 + ... + 1890.

2⁸⁷⁶⁴²⁰ 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 876420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377222).

876420 is an abundant number, since it is smaller than the sum of its proper divisors (1878024).

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

876420 is a wasteful number, since it uses less digits than its factorization.

876420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 876420 is about 936.1730609241. The cubic root of 876420 is about 95.6982714087.

It can be divided in two parts, 876 and 420, that added together give a 4-th power (1296 = 6⁴).

The spelling of 876420 in words is "eight hundred seventy-six thousand, four hundred twenty".