783841968 has 320 divisors, whose sum is σ = 2808709120. Its totient is φ = 203793408.

The previous prime is 783841951. The next prime is 783841973. The reversal of 783841968 is 869148387.

783841968 is a `hidden beast` number, since 78 + 384 + 196 + 8 = 666.

It is a super-2 number, since 2×783841968² = 1228816461596226048, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4992546 + ... + 4992702.

It is an arithmetic number, because the mean of its divisors is an integer number (8777216).

Almost surely, 2^783841968 is an apocalyptic number.

783841968 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 783841968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404354560).

783841968 is an abundant number, since it is smaller than the sum of its proper divisors (2024867152).

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

783841968 is a wasteful number, since it uses less digits than its factorization.

783841968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 783841968 is about 27997.1778577770. The cubic root of 783841968 is about 922.0252987664.

The spelling of 783841968 in words is "seven hundred eighty-three million, eight hundred forty-one thousand, nine hundred sixty-eight".