7878768 has 80 divisors (see below), whose sum is σ = 21962880. Its totient is φ = 2426112.

The previous prime is 7878763. The next prime is 7878791. The reversal of 7878768 is 8678787.

It is an Ulam number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7878768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7878763) 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, 48255 + ... + 48417.

It is an arithmetic number, because the mean of its divisors is an integer number (274536).

Almost surely, 2^7878768 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 7878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981440).

7878768 is an abundant number, since it is smaller than the sum of its proper divisors (14084112).

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

7878768 is a wasteful number, since it uses less digits than its factorization.

7878768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 51.

The square root of 7878768 is about 2806.9143200319. The cubic root of 7878768 is about 198.9845867375.

It can be divided in two parts, 7878 and 768, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 7878768 in words is "seven million, eight hundred seventy-eight thousand, seven hundred sixty-eight".