787686806304 has 432 divisors, whose sum is σ = 2401870895424. Its totient is φ = 244764748800.

The previous prime is 787686806239. The next prime is 787686806339. The reversal of 787686806304 is 403608686787.

787686806304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1217444509 + ... + 1217445155.

It is an arithmetic number, because the mean of its divisors is an integer number (5559886332).

Almost surely, 2^787686806304 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 787686806304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200935447712).

787686806304 is an abundant number, since it is smaller than the sum of its proper divisors (1614184089120).

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

787686806304 is a wasteful number, since it uses less digits than its factorization.

787686806304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 787686806304 in words is "seven hundred eighty-seven billion, six hundred eighty-six million, eight hundred six thousand, three hundred four".