76305870144 has 1008 divisors, whose sum is σ = 282302931456. Its totient is φ = 19585843200.

The previous prime is 76305870143. The next prime is 76305870169. The reversal of 76305870144 is 44107850367.

76305870144 is a `hidden beast` number, since 7 + 63 + 0 + 587 + 0 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 76305870144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76305870143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1250915874 + ... + 1250915934.

It is an arithmetic number, because the mean of its divisors is an integer number (280062432).

Almost surely, 2^76305870144 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 76305870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141151465728).

76305870144 is an abundant number, since it is smaller than the sum of its proper divisors (205997061312).

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

76305870144 is a wasteful number, since it uses less digits than its factorization.

76305870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 76305870144 in words is "seventy-six billion, three hundred five million, eight hundred seventy thousand, one hundred forty-four".