76676077440 has 320 divisors, whose sum is σ = 276917454000. Its totient is φ = 20215996416.

The previous prime is 76676077427. The next prime is 76676077451. The reversal of 76676077440 is 4477067667.

76676077440 is a `hidden beast` number, since 7 + 66 + 76 + 0 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4605451 + ... + 4622069.

Almost surely, 2^76676077440 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 76676077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138458727000).

76676077440 is an abundant number, since it is smaller than the sum of its proper divisors (200241376560).

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

76676077440 is a wasteful number, since it uses less digits than its factorization.

76676077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 76676077440 in words is "seventy-six billion, six hundred seventy-six million, seventy-seven thousand, four hundred forty".