76121168 has 40 divisors (see below), whose sum is σ = 156466176. Its totient is φ = 35798400.

The previous prime is 76121167. The next prime is 76121183. The reversal of 76121168 is 86112167.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76121167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20753 + ... + 24143.

Almost surely, 2^76121168 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 76121168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78233088).

76121168 is an abundant number, since it is smaller than the sum of its proper divisors (80345008).

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

76121168 is a wasteful number, since it uses less digits than its factorization.

76121168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3477 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 76121168 is about 8724.7445807886. The cubic root of 76121168 is about 423.8073469143.

Subtracting 76121168 from its reverse (86112167), we obtain a palindrome (9990999).

The spelling of 76121168 in words is "seventy-six million, one hundred twenty-one thousand, one hundred sixty-eight".