778248 has 40 divisors (see below), whose sum is σ = 2181630. Its totient is φ = 259200.

The previous prime is 778247. The next prime is 778301. The reversal of 778248 is 842877.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 324 = 882^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (778241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 48 + ... + 1248.

2⁷⁷⁸²⁴⁸ 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 778248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090815).

778248 is an abundant number, since it is smaller than the sum of its proper divisors (1403382).

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

778248 is a wasteful number, since it uses less digits than its factorization.

778248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1206 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 778248 is about 882.1836543487. The cubic root of 778248 is about 91.9826684428.

The spelling of 778248 in words is "seven hundred seventy-eight thousand, two hundred forty-eight".