877920 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 222720.

The previous prime is 877909. The next prime is 877937. The reversal of 877920 is 29778.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14851 + ... + 14909.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁸⁷⁷⁹²⁰ is an apocalyptic number.

877920 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 877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

877920 is an abundant number, since it is smaller than the sum of its proper divisors (2025120).

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

877920 is a wasteful number, since it uses less digits than its factorization.

877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 877920 is about 936.9738523566. The cubic root of 877920 is about 95.7528364159.

The spelling of 877920 in words is "eight hundred seventy-seven thousand, nine hundred twenty".