877772 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 340032.

The previous prime is 877771. The next prime is 877783. The reversal of 877772 is 277778.

877772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (877771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18653 + ... + 18699.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁸⁷⁷⁷⁷² 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 877772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

877772 is an abundant number, since it is smaller than the sum of its proper divisors (1057588).

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

877772 is a wasteful number, since it uses less digits than its factorization.

877772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 38416, while the sum is 38.

The square root of 877772 is about 936.8948713703. The cubic root of 877772 is about 95.7474554335.

The spelling of 877772 in words is "eight hundred seventy-seven thousand, seven hundred seventy-two".