782683668 has 192 divisors, whose sum is σ = 2314368000. Its totient is φ = 227017728.

The previous prime is 782683661. The next prime is 782683669. The reversal of 782683668 is 866386287.

It is a happy number.

782683668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×782683668² = 1225187448307868448, 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 (782683661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1913448 + ... + 1913856.

It is an arithmetic number, because the mean of its divisors is an integer number (12054000).

Almost surely, 2^782683668 is an apocalyptic number.

782683668 is a gapful number since it is divisible by the number (78) 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 782683668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157184000).

782683668 is an abundant number, since it is smaller than the sum of its proper divisors (1531684332).

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

782683668 is a wasteful number, since it uses less digits than its factorization.

782683668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 782683668 is about 27976.4841965534. The cubic root of 782683668 is about 921.5709093872.

The spelling of 782683668 in words is "seven hundred eighty-two million, six hundred eighty-three thousand, six hundred sixty-eight".