784087668 has 432 divisors, whose sum is σ = 2811231360. Its totient is φ = 184384512.

The previous prime is 784087643. The next prime is 784087669. The reversal of 784087668 is 866780487.

It is a super-2 number, since 2×784087668² = 1229586942219356448, 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 (784087669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41267763 + ... + 41267781.

It is an arithmetic number, because the mean of its divisors is an integer number (6507480).

Almost surely, 2^784087668 is an apocalyptic number.

784087668 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 784087668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405615680).

784087668 is an abundant number, since it is smaller than the sum of its proper divisors (2027143692).

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

784087668 is a wasteful number, since it uses less digits than its factorization.

784087668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 784087668 is about 28001.5654562383. The cubic root of 784087668 is about 922.1216268355.

The spelling of 784087668 in words is "seven hundred eighty-four million, eighty-seven thousand, six hundred sixty-eight".