877584064 has 112 divisors (see below), whose sum is σ = 2142987840. Its totient is φ = 347996160.

The previous prime is 877584041. The next prime is 877584091. The reversal of 877584064 is 460485778.

It is a happy number.

877584064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 877583999 and 877584017.

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, 463632 + ... + 465520.

It is an arithmetic number, because the mean of its divisors is an integer number (19133820).

Almost surely, 2^877584064 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 877584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071493920).

877584064 is an abundant number, since it is smaller than the sum of its proper divisors (1265403776).

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

877584064 is a wasteful number, since it uses less digits than its factorization.

877584064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 877584064 is about 29624.0453685853. The cubic root of 877584064 is about 957.4062158665.

The spelling of 877584064 in words is "eight hundred seventy-seven million, five hundred eighty-four thousand, sixty-four".