76742939520 has 1152 divisors, whose sum is σ = 320826018240. Its totient is φ = 16742744064.

The previous prime is 76742939519. The next prime is 76742939527. The reversal of 76742939520 is 2593924767.

76742939520 is a `hidden beast` number, since 7 + 67 + 4 + 29 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76742939527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459538477 + ... + 459538643.

Almost surely, 2^76742939520 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 76742939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160413009120).

76742939520 is an abundant number, since it is smaller than the sum of its proper divisors (244083078720).

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

76742939520 is a wasteful number, since it uses less digits than its factorization.

76742939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 76742939520 in words is "seventy-six billion, seven hundred forty-two million, nine hundred thirty-nine thousand, five hundred twenty".