76697501760 has 672 divisors, whose sum is σ = 307431521280. Its totient is φ = 17366630400.

The previous prime is 76697501753. The next prime is 76697501779. The reversal of 76697501760 is 6710579667.

It is a happy number.

76697501760 is a `hidden beast` number, since 7 + 6 + 69 + 7 + 501 + 76 + 0 = 666.

It is a super-3 number, since 3×76697501760³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76697501697 and 76697501706.

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 95 ways as a sum of consecutive naturals, for example, 28478974 + ... + 28481666.

Almost surely, 2^76697501760 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 76697501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153715760640).

76697501760 is an abundant number, since it is smaller than the sum of its proper divisors (230734019520).

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

76697501760 is a wasteful number, since it uses less digits than its factorization.

76697501760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 76697501760 in words is "seventy-six billion, six hundred ninety-seven million, five hundred one thousand, seven hundred sixty".