787712 has 36 divisors (see below), whose sum is σ = 1674036. Its totient is φ = 368640.

The previous prime is 787711. The next prime is 787747. The reversal of 787712 is 217787.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 541696 = 496^2 + 736^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4262 + ... + 4442.

It is an arithmetic number, because the mean of its divisors is an integer number (46501).

2⁷⁸⁷⁷¹² 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 787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837018).

787712 is an abundant number, since it is smaller than the sum of its proper divisors (886324).

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

787712 is a wasteful number, since it uses less digits than its factorization.

787712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 5488, while the sum is 32.

The square root of 787712 is about 887.5314078950. The cubic root of 787712 is about 92.3540234652.

The spelling of 787712 in words is "seven hundred eighty-seven thousand, seven hundred twelve".