76040339760 has 960 divisors, whose sum is σ = 333428659200. Its totient is φ = 15589601280.

The previous prime is 76040339707. The next prime is 76040339761. The reversal of 76040339760 is 6793304067.

76040339760 is a `hidden beast` number, since 7 + 604 + 0 + 3 + 39 + 7 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76040339761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162827047 + ... + 162827513.

It is an arithmetic number, because the mean of its divisors is an integer number (347321520).

Almost surely, 2^76040339760 is an apocalyptic number.

76040339760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76040339760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166714329600).

76040339760 is an abundant number, since it is smaller than the sum of its proper divisors (257388319440).

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

76040339760 is a wasteful number, since it uses less digits than its factorization.

76040339760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 76040339760 in words is "seventy-six billion, forty million, three hundred thirty-nine thousand, seven hundred sixty".