76775130720 has 672 divisors, whose sum is σ = 297470880000. Its totient is φ = 18632540160.

The previous prime is 76775130701. The next prime is 76775130743. The reversal of 76775130720 is 2703157767.

76775130720 is a `hidden beast` number, since 7 + 67 + 7 + 513 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61468656 + ... + 61469904.

It is an arithmetic number, because the mean of its divisors is an integer number (442665000).

Almost surely, 2^76775130720 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 76775130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148735440000).

76775130720 is an abundant number, since it is smaller than the sum of its proper divisors (220695749280).

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

76775130720 is a wasteful number, since it uses less digits than its factorization.

76775130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 76775130720 in words is "seventy-six billion, seven hundred seventy-five million, one hundred thirty thousand, seven hundred twenty".