787301166427776 has 5120 divisors, whose sum is σ = 3303217955520000. Its totient is φ = 181896590131200.

The previous prime is 787301166427771. The next prime is 787301166427991. The reversal of 787301166427776 is 677724661103787.

787301166427776 is a `hidden beast` number, since 7 + 8 + 7 + 30 + 1 + 166 + 427 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (787301166427771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5283900445750 + ... + 5283900445898.

Almost surely, 2^{787301166427776} 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 787301166427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651608977760000).

787301166427776 is an abundant number, since it is smaller than the sum of its proper divisors (2515916789092224).

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

787301166427776 is a wasteful number, since it uses less digits than its factorization.

787301166427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 697019904, while the sum is 72.

The spelling of 787301166427776 in words is "seven hundred eighty-seven trillion, three hundred one billion, one hundred sixty-six million, four hundred twenty-seven thousand, seven hundred seventy-six".