876898041600 has 1296 divisors, whose sum is σ = 3519980706816. Its totient is φ = 191471616000.

The previous prime is 876898041583. The next prime is 876898041601. The reversal of 876898041600 is 6140898678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876898041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3120633460 + ... + 3120633740.

It is an arithmetic number, because the mean of its divisors is an integer number (2716034496).

Almost surely, 2^876898041600 is an apocalyptic number.

876898041600 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 876898041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759990353408).

876898041600 is an abundant number, since it is smaller than the sum of its proper divisors (2643082665216).

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

876898041600 is a wasteful number, since it uses less digits than its factorization.

876898041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 876898041600 in words is "eight hundred seventy-six billion, eight hundred ninety-eight million, forty-one thousand, six hundred".