877865472000 has 1664 divisors, whose sum is σ = 3709492899840. Its totient is φ = 202752000000.

The previous prime is 877865471993. The next prime is 877865472007. The reversal of 877865472000 is 274568778.

It is a happy number.

877865472000 is a `hidden beast` number, since 8 + 7 + 78 + 6 + 547 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (877865471993) and next prime (877865472007).

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

It is not an unprimeable number, because it can be changed into a prime (877865472007) 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 127 ways as a sum of consecutive naturals, for example, 3497471875 + ... + 3497472125.

It is an arithmetic number, because the mean of its divisors is an integer number (2229262560).

Almost surely, 2^877865472000 is an apocalyptic number.

877865472000 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 877865472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854746449920).

877865472000 is an abundant number, since it is smaller than the sum of its proper divisors (2831627427840).

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

877865472000 is a wasteful number, since it uses less digits than its factorization.

877865472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 877865472000 in words is "eight hundred seventy-seven billion, eight hundred sixty-five million, four hundred seventy-two thousand".