876157476768 has 720 divisors, whose sum is σ = 3122857240776. Its totient is φ = 232150302720.

The previous prime is 876157476763. The next prime is 876157476773. The reversal of 876157476768 is 867674751678.

876157476768 is a `hidden beast` number, since 8 + 76 + 15 + 7 + 476 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (876157476763) and next prime (876157476773).

It can be written as a sum of positive squares in 4 ways, for example, as 851139095184 + 25018381584 = 922572^2 + 158172^2 .

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 = 876157476696 and 876157476705.

It is not an unprimeable number, because it can be changed into a prime (876157476763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 858136098 + ... + 858137118.

Almost surely, 2^876157476768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876157476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561428620388).

876157476768 is an abundant number, since it is smaller than the sum of its proper divisors (2246699764008).

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

876157476768 is a wasteful number, since it uses less digits than its factorization.

876157476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1123 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 876157476768 in words is "eight hundred seventy-six billion, one hundred fifty-seven million, four hundred seventy-six thousand, seven hundred sixty-eight".