76830120 has 160 divisors (see below), whose sum is σ = 269723520. Its totient is φ = 19578240.

The previous prime is 76830109. The next prime is 76830133. The reversal of 76830120 is 2103867.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74005 + ... + 75035.

It is an arithmetic number, because the mean of its divisors is an integer number (1685772).

Almost surely, 2^76830120 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 76830120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134861760).

76830120 is an abundant number, since it is smaller than the sum of its proper divisors (192893400).

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

76830120 is a wasteful number, since it uses less digits than its factorization.

76830120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76830120 is about 8765.2792311483. The cubic root of 76830120 is about 425.1189885979.

Adding to 76830120 its reverse (2103867), we get a palindrome (78933987).

The spelling of 76830120 in words is "seventy-six million, eight hundred thirty thousand, one hundred twenty".