76004880000 has 960 divisors, whose sum is σ = 307316877120. Its totient is φ = 16558080000.

The previous prime is 76004879969. The next prime is 76004880041. The reversal of 76004880000 is 8840067.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 270479860 + ... + 270480140.

It is an arithmetic number, because the mean of its divisors is an integer number (320121747).

Almost surely, 2^76004880000 is an apocalyptic number.

76004880000 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 76004880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153658438560).

76004880000 is an abundant number, since it is smaller than the sum of its proper divisors (231311997120).

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

76004880000 is a wasteful number, since it uses less digits than its factorization.

76004880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

It can be divided in two parts, 760048 and 80000, that added together give a palindrome (840048).

The spelling of 76004880000 in words is "seventy-six billion, four million, eight hundred eighty thousand".