76218120 has 192 divisors, whose sum is σ = 284731200. Its totient is φ = 17487360.

The previous prime is 76218083. The next prime is 76218127. The reversal of 76218120 is 2181267.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76218127) 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 47 ways as a sum of consecutive naturals, for example, 74734 + ... + 75746.

It is an arithmetic number, because the mean of its divisors is an integer number (1482975).

Almost surely, 2^76218120 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 76218120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142365600).

76218120 is an abundant number, since it is smaller than the sum of its proper divisors (208513080).

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

76218120 is a wasteful number, since it uses less digits than its factorization.

76218120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 76218120 is about 8730.2989639531. The cubic root of 76218120 is about 423.9871984980.

Adding to 76218120 its reverse (2181267), we get a palindrome (78399387).

The spelling of 76218120 in words is "seventy-six million, two hundred eighteen thousand, one hundred twenty".