76580401680 has 60 divisors (see below), whose sum is σ = 257182518060. Its totient is φ = 20421440256.

The previous prime is 76580401673. The next prime is 76580401691. The reversal of 76580401680 is 8610408567.

It is a happy number.

76580401680 is a `hidden beast` number, since 7 + 6 + 580 + 4 + 0 + 1 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44443385856 + 32137015824 = 210816^2 + 179268^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53180115 + ... + 53181554.

It is an arithmetic number, because the mean of its divisors is an integer number (4286375301).

Almost surely, 2^76580401680 is an apocalyptic number.

It is an amenable number.

76580401680 is an abundant number, since it is smaller than the sum of its proper divisors (180602116380).

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

76580401680 is a wasteful number, since it uses less digits than its factorization.

76580401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106361688 (or 106361679 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 76580401680 in words is "seventy-six billion, five hundred eighty million, four hundred one thousand, six hundred eighty".