76050830080 has 288 divisors, whose sum is σ = 201577481280. Its totient is φ = 27367833600.

The previous prime is 76050830069. The next prime is 76050830081. The reversal of 76050830080 is 8003805067.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (76050830081) 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 31 ways as a sum of consecutive naturals, for example, 47501280 + ... + 47502880.

It is an arithmetic number, because the mean of its divisors is an integer number (699921810).

Almost surely, 2^76050830080 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 76050830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100788740640).

76050830080 is an abundant number, since it is smaller than the sum of its proper divisors (125526651200).

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

76050830080 is a wasteful number, since it uses less digits than its factorization.

76050830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 76050830080 in words is "seventy-six billion, fifty million, eight hundred thirty thousand, eighty".