768978 has 48 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 206208.

The previous prime is 768953. The next prime is 768979. The reversal of 768978 is 879867.

It is not an unprimeable number, because it can be changed into a prime (768979) by changing a digit.

768978 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963 + ... + 2321.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁷⁶⁸⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010880).

768978 is an abundant number, since it is smaller than the sum of its proper divisors (1252782).

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

768978 is a wasteful number, since it uses less digits than its factorization.

768978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

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

The square root of 768978 is about 876.9139068346. The cubic root of 768978 is about 91.6159955031.

Subtracting 768978 from its reverse (879867), we obtain a square (110889 = 333²).

The spelling of 768978 in words is "seven hundred sixty-eight thousand, nine hundred seventy-eight".