786968 has 64 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 291456.

The previous prime is 786959. The next prime is 786971. The reversal of 786968 is 869687.

786968 = T₂₇ + T₂₈ + ... + T₁₆₇.

It is an Ulam number.

Its product of digits (145152) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

786968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 16721 + ... + 16767.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁷⁸⁶⁹⁶⁸ 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 786968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

786968 is an abundant number, since it is smaller than the sum of its proper divisors (1148392).

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

786968 is a wasteful number, since it uses less digits than its factorization.

786968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 786968 is about 887.1121687814. The cubic root of 786968 is about 92.3249379459.

The spelling of 786968 in words is "seven hundred eighty-six thousand, nine hundred sixty-eight".