7778048 has 36 divisors (see below), whose sum is σ = 16213008. Its totient is φ = 3717120.

The previous prime is 7778041. The next prime is 7778051. The reversal of 7778048 is 8408777.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7777996 and 7778014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7778041) 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 3 ways as a sum of consecutive naturals, for example, 5228 + ... + 6548.

Almost surely, 2^7778048 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 7778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106504).

7778048 is an abundant number, since it is smaller than the sum of its proper divisors (8434960).

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

7778048 is a wasteful number, since it uses less digits than its factorization.

7778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 7778048 is about 2788.9152012924. The cubic root of 7778048 is about 198.1330262748.

It can be divided in two parts, 77 and 78048, that added together give a 7-th power (78125 = 5⁷).

The spelling of 7778048 in words is "seven million, seven hundred seventy-eight thousand, forty-eight".