787886420256 has 288 divisors, whose sum is σ = 2568653821440. Its totient is φ = 234605030400.

The previous prime is 787886420249. The next prime is 787886420317. The reversal of 787886420256 is 652024688787.

787886420256 is a `hidden beast` number, since 7 + 87 + 8 + 86 + 420 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×787886420256² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 787886420193 and 787886420202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4439466 + ... + 4613526.

It is an arithmetic number, because the mean of its divisors is an integer number (8918936880).

Almost surely, 2^787886420256 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 787886420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284326910720).

787886420256 is an abundant number, since it is smaller than the sum of its proper divisors (1780767401184).

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

787886420256 is a wasteful number, since it uses less digits than its factorization.

787886420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174137 (or 174110 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 787886420256 in words is "seven hundred eighty-seven billion, eight hundred eighty-six million, four hundred twenty thousand, two hundred fifty-six".