782228683440 has 480 divisors, whose sum is σ = 2775837460032. Its totient is φ = 204664320000.

The previous prime is 782228683399. The next prime is 782228683463. The reversal of 782228683440 is 44386822287.

782228683440 is a `hidden beast` number, since 78 + 2 + 228 + 6 + 8 + 344 + 0 = 666.

It is a super-2 number, since 2×782228683440² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831273370 + ... + 831274310.

Almost surely, 2^782228683440 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 782228683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387918730016).

782228683440 is an abundant number, since it is smaller than the sum of its proper divisors (1993608776592).

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

782228683440 is a wasteful number, since it uses less digits than its factorization.

782228683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 782228683440 in words is "seven hundred eighty-two billion, two hundred twenty-eight million, six hundred eighty-three thousand, four hundred forty".