876748132952208 has 1920 divisors, whose sum is σ = 3227452629811200. Its totient is φ = 226012114944000.

The previous prime is 876748132952207. The next prime is 876748132952243. The reversal of 876748132952208 is 802259231847678.

876748132952208 is a `hidden beast` number, since 8 + 7 + 6 + 7 + 48 + 1 + 329 + 52 + 208 = 666.

It is a super-2 number, since 2×876748132952208² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (876748132952207) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37161355260 + ... + 37161378852.

It is an arithmetic number, because the mean of its divisors is an integer number (1680964911360).

It is a 1-persistent number, because it is pandigital, but 2⋅876748132952208 = 1753496265904416 is not.

Almost surely, 2^{876748132952208} is an apocalyptic number.

876748132952208 is a gapful number since it is divisible by the number (88) 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 876748132952208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613726314905600).

876748132952208 is an abundant number, since it is smaller than the sum of its proper divisors (2350704496858992).

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

876748132952208 is a wasteful number, since it uses less digits than its factorization.

876748132952208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23770 (or 23747 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 876748132952208 in words is "eight hundred seventy-six trillion, seven hundred forty-eight billion, one hundred thirty-two million, nine hundred fifty-two thousand, two hundred eight".