786912 has 48 divisors (see below), whose sum is σ = 2362752. Its totient is φ = 224640.

The previous prime is 786901. The next prime is 786931. The reversal of 786912 is 219687.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

786912 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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (49224).

2⁷⁸⁶⁹¹² 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 786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181376).

786912 is an abundant number, since it is smaller than the sum of its proper divisors (1575840).

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

786912 is a wasteful number, since it uses less digits than its factorization.

786912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1183 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 786912 is about 887.0806051312. The cubic root of 786912 is about 92.3227479716.

The spelling of 786912 in words is "seven hundred eighty-six thousand, nine hundred twelve".