76086676152 has 144 divisors (see below), whose sum is σ = 214166392440. Its totient is φ = 24401938176.

The previous prime is 76086676147. The next prime is 76086676199. The reversal of 76086676152 is 25167668067.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18587418 + ... + 18591510.

Almost surely, 2^76086676152 is an apocalyptic number.

76086676152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76086676152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107083196220).

76086676152 is an abundant number, since it is smaller than the sum of its proper divisors (138079716288).

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

76086676152 is a wasteful number, since it uses less digits than its factorization.

76086676152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 76086676152 in words is "seventy-six billion, eighty-six million, six hundred seventy-six thousand, one hundred fifty-two".