778968 has 48 divisors (see below), whose sum is σ = 2184000. Its totient is φ = 250560.

The previous prime is 778963. The next prime is 778979. The reversal of 778968 is 869877.

It is a super-2 number, since 2×778968² = 1213582290048, which contains 22 as substring.

Its product of digits (169344) is a multiple of the sum of its prime factors (392).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (45500).

2⁷⁷⁸⁹⁶⁸ 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 778968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092000).

778968 is an abundant number, since it is smaller than the sum of its proper divisors (1405032).

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

778968 is a wasteful number, since it uses less digits than its factorization.

778968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 778968 is about 882.5916383017. The cubic root of 778968 is about 92.0110257737.

Subtracting 778968 from its reverse (869877), we obtain a palindrome (90909).

It can be divided in two parts, 77 and 8968, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 778968 in words is "seven hundred seventy-eight thousand, nine hundred sixty-eight".