76867180 has 48 divisors (see below), whose sum is σ = 174706560. Its totient is φ = 28240128.

The previous prime is 76867159. The next prime is 76867181. The reversal of 76867180 is 8176867.

It is a super-2 number, since 2×76867180² = 11817126722304800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76867181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61522 + ... + 62758.

It is an arithmetic number, because the mean of its divisors is an integer number (3639720).

Almost surely, 2^76867180 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 76867180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87353280).

76867180 is an abundant number, since it is smaller than the sum of its proper divisors (97839380).

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

76867180 is a wasteful number, since it uses less digits than its factorization.

76867180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 76867180 is about 8767.3929990619. The cubic root of 76867180 is about 425.1873314874.

The spelling of 76867180 in words is "seventy-six million, eight hundred sixty-seven thousand, one hundred eighty".