76160868 has 96 divisors (see below), whose sum is σ = 210567168. Its totient is φ = 20976000.

The previous prime is 76160863. The next prime is 76160921. The reversal of 76160868 is 86806167.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (76160863) 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, 398653 + ... + 398843.

It is an arithmetic number, because the mean of its divisors is an integer number (2193408).

Almost surely, 2^76160868 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 76160868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105283584).

76160868 is an abundant number, since it is smaller than the sum of its proper divisors (134406300).

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

76160868 is a wasteful number, since it uses less digits than its factorization.

76160868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 76160868 is about 8727.0194224603. The cubic root of 76160868 is about 423.8810111700.

It can be divided in two parts, 76160 and 868, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 76160868 in words is "seventy-six million, one hundred sixty thousand, eight hundred sixty-eight".