786672 has 50 divisors (see below), whose sum is σ = 2280608. Its totient is φ = 261792.

The previous prime is 786661. The next prime is 786673. The reversal of 786672 is 276687.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 786672.

It is not an unprimeable number, because it can be changed into a prime (786673) by changing a digit.

786672 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, 993 + ... + 1599.

2⁷⁸⁶⁶⁷² is an apocalyptic number.

786672 is a gapful number since it is divisible by the number (72) 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 786672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140304).

786672 is an abundant number, since it is smaller than the sum of its proper divisors (1493936).

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

786672 is a wasteful number, since it uses less digits than its factorization.

786672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 786672 is about 886.9453196224. The cubic root of 786672 is about 92.3133611903.

The spelling of 786672 in words is "seven hundred eighty-six thousand, six hundred seventy-two".