76414052240 has 40 divisors (see below), whose sum is σ = 177678267000. Its totient is φ = 30562937856.

The previous prime is 76414052227. The next prime is 76414052257. The reversal of 76414052240 is 4225041467.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3401688976 + 73012363264 = 58324^2 + 270208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 76414052240.

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 7 ways as a sum of consecutive naturals, for example, 1052636 + ... + 1122884.

It is an arithmetic number, because the mean of its divisors is an integer number (4441956675).

Almost surely, 2^76414052240 is an apocalyptic number.

It is an amenable number.

76414052240 is an abundant number, since it is smaller than the sum of its proper divisors (101264214760).

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

76414052240 is a wasteful number, since it uses less digits than its factorization.

76414052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83859 (or 83853 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 76414052240 in words is "seventy-six billion, four hundred fourteen million, fifty-two thousand, two hundred forty".