787456 has 22 divisors (see below), whose sum is σ = 1576190. Its totient is φ = 393216.

The previous prime is 787447. The next prime is 787469. The reversal of 787456 is 654787.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 147456 = 800^2 + 384^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

787456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 640 + ... + 1408.

It is an arithmetic number, because the mean of its divisors is an integer number (71645).

2⁷⁸⁷⁴⁵⁶ 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 787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788095).

787456 is an abundant number, since it is smaller than the sum of its proper divisors (788734).

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

787456 is an equidigital number, since it uses as much as digits as its factorization.

787456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 787456 is about 887.3871759272. The cubic root of 787456 is about 92.3440176121.

The spelling of 787456 in words is "seven hundred eighty-seven thousand, four hundred fifty-six".