76009830 has 64 divisors (see below), whose sum is σ = 202825728. Its totient is φ = 18103680.

The previous prime is 76009819. The next prime is 76009837. The reversal of 76009830 is 3890067.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76009791 and 76009800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76009837) 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 31 ways as a sum of consecutive naturals, for example, 8947 + ... + 15233.

It is an arithmetic number, because the mean of its divisors is an integer number (3169152).

Almost surely, 2^76009830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76009830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101412864).

76009830 is an abundant number, since it is smaller than the sum of its proper divisors (126815898).

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

76009830 is a wasteful number, since it uses less digits than its factorization.

76009830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 76009830 is about 8718.3616580181. The cubic root of 76009830 is about 423.6006199828.

Adding to 76009830 its reverse (3890067), we get a palindrome (79899897).

The spelling of 76009830 in words is "seventy-six million, nine thousand, eight hundred thirty".