782873856 has 144 divisors (see below), whose sum is σ = 2331141120. Its totient is φ = 259153920.

The previous prime is 782873849. The next prime is 782873857. The reversal of 782873856 is 658378287.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×782873856² = 1225782948816617472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782873857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319896 + ... + 1320488.

It is an arithmetic number, because the mean of its divisors is an integer number (16188480).

Almost surely, 2^782873856 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 782873856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165570560).

782873856 is an abundant number, since it is smaller than the sum of its proper divisors (1548267264).

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

782873856 is a wasteful number, since it uses less digits than its factorization.

782873856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 789 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 782873856 is about 27979.8830590837. The cubic root of 782873856 is about 921.6455489640.

The spelling of 782873856 in words is "seven hundred eighty-two million, eight hundred seventy-three thousand, eight hundred fifty-six".