76600442880 has 864 divisors, whose sum is σ = 304580805984. Its totient is φ = 18345885696.

The previous prime is 76600442833. The next prime is 76600442887. The reversal of 76600442880 is 8824400667.

76600442880 is a `hidden beast` number, since 76 + 60 + 0 + 442 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76600442887) 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, 2070282222 + ... + 2070282258.

It is an arithmetic number, because the mean of its divisors is an integer number (352524081).

Almost surely, 2^76600442880 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 76600442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152290402992).

76600442880 is an abundant number, since it is smaller than the sum of its proper divisors (227980363104).

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

76600442880 is an frugal number, since it uses more digits than its factorization.

76600442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 76600442880 in words is "seventy-six billion, six hundred million, four hundred forty-two thousand, eight hundred eighty".