76086540000 has 600 divisors, whose sum is σ = 284199283368. Its totient is φ = 19958400000.

The previous prime is 76086539999. The next prime is 76086540043. The reversal of 76086540000 is 4568067.

It is a happy number.

76086540000 is a `hidden beast` number, since 7 + 608 + 6 + 5 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 99 ways as a sum of consecutive naturals, for example, 108539650 + ... + 108540350.

Almost surely, 2^76086540000 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 76086540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142099641684).

76086540000 is an abundant number, since it is smaller than the sum of its proper divisors (208112743368).

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

76086540000 is an equidigital number, since it uses as much as digits as its factorization.

76086540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 76086540000 in words is "seventy-six billion, eighty-six million, five hundred forty thousand".