76127932800000 has 396 divisors, whose sum is σ = 274754710869912. Its totient is φ = 20300774400000.

The previous prime is 76127932799987. The next prime is 76127932800053. The reversal of 76127932800000 is 823972167.

76127932800000 is a `hidden beast` number, since 7 + 612 + 7 + 9 + 3 + 28 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 27478335 + ... + 30121665.

Almost surely, 2^{76127932800000} 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 76127932800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137377355434956).

76127932800000 is an abundant number, since it is smaller than the sum of its proper divisors (198626778069912).

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

76127932800000 is an equidigital number, since it uses as much as digits as its factorization.

76127932800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643382 (or 2643341 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 76127932800000 in words is "seventy-six trillion, one hundred twenty-seven billion, nine hundred thirty-two million, eight hundred thousand".