76085077824 has 168 divisors, whose sum is σ = 249355628288. Its totient is φ = 21728424960.

The previous prime is 76085077813. The next prime is 76085077843. The reversal of 76085077824 is 42877058067.

It is a happy number.

76085077824 is a `hidden beast` number, since 7 + 60 + 8 + 507 + 78 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14637594 + ... + 14642790.

Almost surely, 2^76085077824 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 76085077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124677814144).

76085077824 is an abundant number, since it is smaller than the sum of its proper divisors (173270550464).

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

76085077824 is a wasteful number, since it uses less digits than its factorization.

76085077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 76085077824 in words is "seventy-six billion, eighty-five million, seventy-seven thousand, eight hundred twenty-four".