877608 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 274176.

The previous prime is 877601. The next prime is 877609. The reversal of 877608 is 806778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 877608.

It is not an unprimeable number, because it can be changed into a prime (877601) by changing a digit.

877608 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 15 ways as a sum of consecutive naturals, for example, 3553 + ... + 3791.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁸⁷⁷⁶⁰⁸ 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 877608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

877608 is an abundant number, since it is smaller than the sum of its proper divisors (1714392).

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

877608 is a wasteful number, since it uses less digits than its factorization.

877608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 877608 is about 936.8073441215. The cubic root of 877608 is about 95.7414920167.

It can be divided in two parts, 877 and 608, that added together give a triangular number (1485 = T₅₄).

The spelling of 877608 in words is "eight hundred seventy-seven thousand, six hundred eight".