877716000 has 672 divisors, whose sum is σ = 3781185408. Its totient is φ = 195955200.

The previous prime is 877715999. The next prime is 877716017. The reversal of 877716000 is 617778.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20411979 + ... + 20412021.

It is an arithmetic number, because the mean of its divisors is an integer number (5626764).

Almost surely, 2^877716000 is an apocalyptic number.

877716000 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 877716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890592704).

877716000 is an abundant number, since it is smaller than the sum of its proper divisors (2903469408).

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

877716000 is an equidigital number, since it uses as much as digits as its factorization.

877716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 877716000 is about 29626.2721245856. The cubic root of 877716000 is about 957.4541922835.

The spelling of 877716000 in words is "eight hundred seventy-seven million, seven hundred sixteen thousand".