778848 has 96 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 207360.

The previous prime is 778847. The next prime is 778871. The reversal of 778848 is 848877.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12738 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁷⁷⁸⁸⁴⁸ 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 778848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

778848 is an abundant number, since it is smaller than the sum of its proper divisors (1720992).

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

778848 is a wasteful number, since it uses less digits than its factorization.

778848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The square root of 778848 is about 882.5236540739. The cubic root of 778848 is about 92.0063007657.

The spelling of 778848 in words is "seven hundred seventy-eight thousand, eight hundred forty-eight".