76086017408 has 128 divisors (see below), whose sum is σ = 163653696000. Its totient is φ = 35126784000.

The previous prime is 76086017407. The next prime is 76086017431. The reversal of 76086017408 is 80471068067.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76086017407) by changing a digit.

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, 15365333 + ... + 15370283.

It is an arithmetic number, because the mean of its divisors is an integer number (1278544500).

Almost surely, 2^76086017408 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 76086017408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81826848000).

76086017408 is an abundant number, since it is smaller than the sum of its proper divisors (87567678592).

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

76086017408 is a wasteful number, since it uses less digits than its factorization.

76086017408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 76086017408 in words is "seventy-six billion, eighty-six million, seventeen thousand, four hundred eight".