877668120 has 192 divisors, whose sum is σ = 3348371520. Its totient is φ = 195167232.

The previous prime is 877668119. The next prime is 877668131. The reversal of 877668120 is 21866778.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88534 + ... + 97946.

It is an arithmetic number, because the mean of its divisors is an integer number (17439435).

Almost surely, 2^877668120 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 877668120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674185760).

877668120 is an abundant number, since it is smaller than the sum of its proper divisors (2470703400).

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

877668120 is a wasteful number, since it uses less digits than its factorization.

877668120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 877668120 is about 29625.4640469985. The cubic root of 877668120 is about 957.4367820428.

The spelling of 877668120 in words is "eight hundred seventy-seven million, six hundred sixty-eight thousand, one hundred twenty".