76020168 has 96 divisors (see below), whose sum is σ = 223257600. Its totient is φ = 21506688.

The previous prime is 76020137. The next prime is 76020169. The reversal of 76020168 is 86102067.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76020169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149098 + ... + 149606.

It is an arithmetic number, because the mean of its divisors is an integer number (2325600).

Almost surely, 2^76020168 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 76020168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

76020168 is an abundant number, since it is smaller than the sum of its proper divisors (147237432).

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

76020168 is a wasteful number, since it uses less digits than its factorization.

76020168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 76020168 is about 8718.9545244829. The cubic root of 76020168 is about 423.6198235722.

The spelling of 76020168 in words is "seventy-six million, twenty thousand, one hundred sixty-eight".