877785120 has 192 divisors, whose sum is σ = 3123550080. Its totient is φ = 230169600.

The previous prime is 877785091. The next prime is 877785127. The reversal of 877785120 is 21587778.

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

It is not an unprimeable number, because it can be changed into a prime (877785127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 261855 + ... + 265185.

It is an arithmetic number, because the mean of its divisors is an integer number (16268490).

Almost surely, 2^877785120 is an apocalyptic number.

877785120 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 877785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561775040).

877785120 is an abundant number, since it is smaller than the sum of its proper divisors (2245764960).

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

877785120 is a wasteful number, since it uses less digits than its factorization.

877785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 877785120 is about 29627.4386338070. The cubic root of 877785120 is about 957.4793247472.

The spelling of 877785120 in words is "eight hundred seventy-seven million, seven hundred eighty-five thousand, one hundred twenty".