876192768 has 352 divisors, whose sum is σ = 2939819520. Its totient is φ = 255467520.

The previous prime is 876192761. The next prime is 876192781. The reversal of 876192768 is 867291678.

It is a tau number, because it is divible by the number of its divisors (352).

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

Its product of digits (2032128) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (876192761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13077471 + ... + 13077537.

It is an arithmetic number, because the mean of its divisors is an integer number (8351760).

Almost surely, 2^876192768 is an apocalyptic number.

876192768 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 876192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469909760).

876192768 is an abundant number, since it is smaller than the sum of its proper divisors (2063626752).

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

876192768 is a wasteful number, since it uses less digits than its factorization.

876192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 876192768 is about 29600.5535083383. The cubic root of 876192768 is about 956.9000003608.

The spelling of 876192768 in words is "eight hundred seventy-six million, one hundred ninety-two thousand, seven hundred sixty-eight".