787968 has 100 divisors (see below), whose sum is σ = 2475660. Its totient is φ = 248832.

The previous prime is 787939. The next prime is 787973. The reversal of 787968 is 869787.

Its product of digits (169344) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 12.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is an unprimeable number.

787968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41463 + ... + 41481.

2⁷⁸⁷⁹⁶⁸ 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 787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237830).

787968 is an abundant number, since it is smaller than the sum of its proper divisors (1687692).

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

787968 is an equidigital number, since it uses as much as digits as its factorization.

787968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 24 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 787968 is about 887.6756164275. The cubic root of 787968 is about 92.3640271506.

The spelling of 787968 in words is "seven hundred eighty-seven thousand, nine hundred sixty-eight".