76008325120 has 272 divisors, whose sum is σ = 224603265600. Its totient is φ = 24045944832.

The previous prime is 76008325117. The next prime is 76008325139. The reversal of 76008325120 is 2152380067.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 29817606 + ... + 29820154.

It is an arithmetic number, because the mean of its divisors is an integer number (825747300).

Almost surely, 2^76008325120 is an apocalyptic number.

76008325120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76008325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112301632800).

76008325120 is an abundant number, since it is smaller than the sum of its proper divisors (148594940480).

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

76008325120 is an equidigital number, since it uses as much as digits as its factorization.

76008325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 76008325120 in words is "seventy-six billion, eight million, three hundred twenty-five thousand, one hundred twenty".