877889376 has 576 divisors, whose sum is σ = 3390266880. Its totient is φ = 209018880.

The previous prime is 877889329. The next prime is 877889377. The reversal of 877889376 is 673988778.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (28449792) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877889377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20416011 + ... + 20416053.

It is an arithmetic number, because the mean of its divisors is an integer number (5885880).

Almost surely, 2^877889376 is an apocalyptic number.

877889376 is a gapful number since it is divisible by the number (86) 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 877889376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695133440).

877889376 is an abundant number, since it is smaller than the sum of its proper divisors (2512377504).

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

877889376 is a wasteful number, since it uses less digits than its factorization.

877889376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The square root of 877889376 is about 29629.1980316714. The cubic root of 877889376 is about 957.5172303844.

The spelling of 877889376 in words is "eight hundred seventy-seven million, eight hundred eighty-nine thousand, three hundred seventy-six".