76745056752 has 720 divisors, whose sum is σ = 281191502592. Its totient is φ = 19345858560.

The previous prime is 76745056727. The next prime is 76745056757. The reversal of 76745056752 is 25765054767.

76745056752 is a `hidden beast` number, since 7 + 6 + 74 + 5 + 0 + 567 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76745056757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389568718 + ... + 389568914.

Almost surely, 2^76745056752 is an apocalyptic number.

76745056752 is a gapful number since it is divisible by the number (72) 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 76745056752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140595751296).

76745056752 is an abundant number, since it is smaller than the sum of its proper divisors (204446445840).

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

76745056752 is a wasteful number, since it uses less digits than its factorization.

76745056752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 76745056752 in words is "seventy-six billion, seven hundred forty-five million, fifty-six thousand, seven hundred fifty-two".