877485600 has 432 divisors, whose sum is σ = 3356222688. Its totient is φ = 214917120.

The previous prime is 877485577. The next prime is 877485601. The reversal of 877485600 is 6584778.

877485600 is a `hidden beast` number, since 87 + 7 + 4 + 8 + 560 + 0 = 666.

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 (877485601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8200747 + ... + 8200853.

It is an arithmetic number, because the mean of its divisors is an integer number (7769034).

Almost surely, 2^877485600 is an apocalyptic number.

877485600 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 877485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678111344).

877485600 is an abundant number, since it is smaller than the sum of its proper divisors (2478737088).

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

877485600 is a wasteful number, since it uses less digits than its factorization.

877485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 877485600 is about 29622.3834287520. The cubic root of 877485600 is about 957.3704078737.

The spelling of 877485600 in words is "eight hundred seventy-seven million, four hundred eighty-five thousand, six hundred".