76314794880000 has 1760 divisors, whose sum is σ = 274753733861376. Its totient is φ = 18779611136000.

The previous prime is 76314794879987. The next prime is 76314794880029. The reversal of 76314794880000 is 8849741367.

It is a super-3 number, since 3×76314794880000³ (a number of 43 digits) contains 333 as substring.

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 159 ways as a sum of consecutive naturals, for example, 172268159779 + ... + 172268160221.

Almost surely, 2^{76314794880000} 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 76314794880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137376866930688).

76314794880000 is an abundant number, since it is smaller than the sum of its proper divisors (198438938981376).

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

76314794880000 is a wasteful number, since it uses less digits than its factorization.

76314794880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 76314794880000 in words is "seventy-six trillion, three hundred fourteen billion, seven hundred ninety-four million, eight hundred eighty thousand".