786940 has 72 divisors (see below), whose sum is σ = 2125872. Its totient is φ = 241920.

The previous prime is 786937. The next prime is 786941. The reversal of 786940 is 49687.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 786896 and 786905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10744 + ... + 10816.

It is an arithmetic number, because the mean of its divisors is an integer number (29526).

2⁷⁸⁶⁹⁴⁰ is an apocalyptic number.

786940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 786940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062936).

786940 is an abundant number, since it is smaller than the sum of its proper divisors (1338932).

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

786940 is a wasteful number, since it uses less digits than its factorization.

786940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 786940 is about 887.0963870967. The cubic root of 786940 is about 92.3238429717.

It can be divided in two parts, 78 and 6940, that multiplied together give a triangular number (541320 = T₁₀₄₀).

The spelling of 786940 in words is "seven hundred eighty-six thousand, nine hundred forty".