76380537600 has 972 divisors, whose sum is σ = 303052650264. Its totient is φ = 18990858240.

The previous prime is 76380537577. The next prime is 76380537659. The reversal of 76380537600 is 673508367.

76380537600 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 0 + 5 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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

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 107 ways as a sum of consecutive naturals, for example, 713836747 + ... + 713836853.

It is an arithmetic number, because the mean of its divisors is an integer number (311782562).

Almost surely, 2^76380537600 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 76380537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151526325132).

76380537600 is an abundant number, since it is smaller than the sum of its proper divisors (226672112664).

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

76380537600 is an equidigital number, since it uses as much as digits as its factorization.

76380537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 76380537600 in words is "seventy-six billion, three hundred eighty million, five hundred thirty-seven thousand, six hundred".