76743777976320 has 2816 divisors, whose sum is σ = 340934422671360. Its totient is φ = 14263586390016.

The previous prime is 76743777976289. The next prime is 76743777976321. The reversal of 76743777976320 is 2367977734767.

It is not an unprimeable number, because it can be changed into a prime (76743777976321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 924623830999 + ... + 924623831081.

Almost surely, 2^{76743777976320} is an apocalyptic number.

76743777976320 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 76743777976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170467211335680).

76743777976320 is an abundant number, since it is smaller than the sum of its proper divisors (264190644695040).

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

76743777976320 is an equidigital number, since it uses as much as digits as its factorization.

76743777976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2744515872, while the sum is 75.

The spelling of 76743777976320 in words is "seventy-six trillion, seven hundred forty-three billion, seven hundred seventy-seven million, nine hundred seventy-six thousand, three hundred twenty".