76578925440 has 128 divisors (see below), whose sum is σ = 256942569600. Its totient is φ = 19346245632.

The previous prime is 76578925417. The next prime is 76578925453. The reversal of 76578925440 is 4452987567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1013122 + ... + 1086081.

It is an arithmetic number, because the mean of its divisors is an integer number (2007363825).

Almost surely, 2^76578925440 is an apocalyptic number.

It is an amenable number.

76578925440 is an abundant number, since it is smaller than the sum of its proper divisors (180363644160).

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

76578925440 is a wasteful number, since it uses less digits than its factorization.

76578925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099244 (or 2099232 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 76578925440 in words is "seventy-six billion, five hundred seventy-eight million, nine hundred twenty-five thousand, four hundred forty".