787648 has 28 divisors (see below), whose sum is σ = 1617472. Its totient is φ = 380160.

The previous prime is 787639. The next prime is 787649. The reversal of 787648 is 846787.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 787648.

It is not an unprimeable number, because it can be changed into a prime (787649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1786 + ... + 2182.

2⁷⁸⁷⁶⁴⁸ 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 787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808736).

787648 is an abundant number, since it is smaller than the sum of its proper divisors (829824).

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

787648 is a wasteful number, since it uses less digits than its factorization.

787648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 787648 is about 887.4953521005. The cubic root of 787648 is about 92.3515222052.

The spelling of 787648 in words is "seven hundred eighty-seven thousand, six hundred forty-eight".