877728768 has 264 divisors, whose sum is σ = 2889905472. Its totient is φ = 236027904.

The previous prime is 877728749. The next prime is 877728799. The reversal of 877728768 is 867827778.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51631096 + ... + 51631112.

Almost surely, 2^877728768 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 877728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444952736).

877728768 is an abundant number, since it is smaller than the sum of its proper divisors (2012176704).

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

877728768 is an frugal number, since it uses more digits than its factorization.

877728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its digits is 14751744, while the sum is 60.

The square root of 877728768 is about 29626.4876082198. The cubic root of 877728768 is about 957.4588349074.

The spelling of 877728768 in words is "eight hundred seventy-seven million, seven hundred twenty-eight thousand, seven hundred sixty-eight".