786132 has 48 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 252000.

The previous prime is 786127. The next prime is 786151. The reversal of 786132 is 231687.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 786096 and 786105.

It is a congruent number.

It is an unprimeable number.

786132 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 15 ways as a sum of consecutive naturals, for example, 3007 + ... + 3257.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁷⁸⁶¹³² 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 786132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

786132 is an abundant number, since it is smaller than the sum of its proper divisors (1330668).

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

786132 is a wasteful number, since it uses less digits than its factorization.

786132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 786132 is about 886.6408517545. The cubic root of 786132 is about 92.2922339499.

The spelling of 786132 in words is "seven hundred eighty-six thousand, one hundred thirty-two".