877760 has 56 divisors (see below), whose sum is σ = 2261616. Its totient is φ = 322560.

The previous prime is 877739. The next prime is 877771. The reversal of 877760 is 67778.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 877760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4055 + ... + 4265.

It is an arithmetic number, because the mean of its divisors is an integer number (40386).

2⁸⁷⁷⁷⁶⁰ is an apocalyptic number.

877760 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 877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130808).

877760 is an abundant number, since it is smaller than the sum of its proper divisors (1383856).

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

877760 is a wasteful number, since it uses less digits than its factorization.

877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 877760 is about 936.8884672147. Note that the first 3 decimals coincide. The cubic root of 877760 is about 95.7470191111.

The spelling of 877760 in words is "eight hundred seventy-seven thousand, seven hundred sixty".