877540 has 48 divisors (see below), whose sum is σ = 2041200. Its totient is φ = 315392.

The previous prime is 877531. The next prime is 877543. The reversal of 877540 is 45778.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5184 + 872356 = 72^2 + 934^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877543) 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, 9816 + ... + 9904.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2⁸⁷⁷⁵⁴⁰ 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 877540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020600).

877540 is an abundant number, since it is smaller than the sum of its proper divisors (1163660).

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

877540 is a wasteful number, since it uses less digits than its factorization.

877540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 877540 is about 936.7710499370. The cubic root of 877540 is about 95.7390191626.

The spelling of 877540 in words is "eight hundred seventy-seven thousand, five hundred forty".