877976064 has 320 divisors, whose sum is σ = 3053614080. Its totient is φ = 243855360.

The previous prime is 877976039. The next prime is 877976069. The reversal of 877976064 is 460679778.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 877976064.

It is not an unprimeable number, because it can be changed into a prime (877976069) 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, 4160919 + ... + 4161129.

It is an arithmetic number, because the mean of its divisors is an integer number (9542544).

Almost surely, 2^877976064 is an apocalyptic number.

877976064 is a gapful number since it is divisible by the number (84) 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 877976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526807040).

877976064 is an abundant number, since it is smaller than the sum of its proper divisors (2175638016).

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

877976064 is a wasteful number, since it uses less digits than its factorization.

877976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 877976064 is about 29630.6608768687. The cubic root of 877976064 is about 957.5487463224.

The spelling of 877976064 in words is "eight hundred seventy-seven million, nine hundred seventy-six thousand, sixty-four".