877745664 has 120 divisors (see below), whose sum is σ = 2547024480. Its totient is φ = 290992128.

The previous prime is 877745611. The next prime is 877745731. The reversal of 877745664 is 466547778.

877745664 is a `hidden beast` number, since 8 + 7 + 7 + 74 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 877745664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100914 + ... + 1101710.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^877745664 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 877745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273512240).

877745664 is an abundant number, since it is smaller than the sum of its proper divisors (1669278816).

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

877745664 is a wasteful number, since it uses less digits than its factorization.

877745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1041 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 877745664 is about 29626.7727570858. The cubic root of 877745664 is about 957.4649784608.

The spelling of 877745664 in words is "eight hundred seventy-seven million, seven hundred forty-five thousand, six hundred sixty-four".