876802848768 has 1344 divisors, whose sum is σ = 3403066867200. Its totient is φ = 219051786240.

The previous prime is 876802848749. The next prime is 876802848769. The reversal of 876802848768 is 867848208678.

876802848768 is a `hidden beast` number, since 8 + 7 + 6 + 80 + 2 + 8 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 876802848696 and 876802848705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876802848769) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3333851005 + ... + 3333851267.

It is an arithmetic number, because the mean of its divisors is an integer number (2532043800).

Almost surely, 2^876802848768 is an apocalyptic number.

876802848768 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 876802848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701533433600).

876802848768 is an abundant number, since it is smaller than the sum of its proper divisors (2526264018432).

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

876802848768 is a wasteful number, since it uses less digits than its factorization.

876802848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 876802848768 in words is "eight hundred seventy-six billion, eight hundred two million, eight hundred forty-eight thousand, seven hundred sixty-eight".