877388160 has 128 divisors (see below), whose sum is σ = 3050991360. Its totient is φ = 212695040.

The previous prime is 877388147. The next prime is 877388167. The reversal of 877388160 is 61883778.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877388167) 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, 349 + ... + 41891.

It is an arithmetic number, because the mean of its divisors is an integer number (23835870).

Almost surely, 2^877388160 is an apocalyptic number.

877388160 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 877388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525495680).

877388160 is an abundant number, since it is smaller than the sum of its proper divisors (2173603200).

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

877388160 is a wasteful number, since it uses less digits than its factorization.

877388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41576 (or 41564 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 877388160 is about 29620.7386808634. The cubic root of 877388160 is about 957.3349696376.

The spelling of 877388160 in words is "eight hundred seventy-seven million, three hundred eighty-eight thousand, one hundred sixty".