76380616915200 has 1512 divisors, whose sum is σ = 323215772194728. Its totient is φ = 17695180062720.

The previous prime is 76380616915181. The next prime is 76380616915201. The reversal of 76380616915200 is 251961608367.

76380616915200 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 0 + 616 + 9 + 15 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 33625339197696 + 42755277717504 = 5798736^2 + 6538752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76380616915201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1031060562 + ... + 1031134638.

Almost surely, 2^{76380616915200} 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 76380616915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161607886097364).

76380616915200 is an abundant number, since it is smaller than the sum of its proper divisors (246835155279528).

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

76380616915200 is a wasteful number, since it uses less digits than its factorization.

76380616915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74151 (or 74117 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 76380616915200 in words is "seventy-six trillion, three hundred eighty billion, six hundred sixteen million, nine hundred fifteen thousand, two hundred".