7788960 has 120 divisors (see below), whose sum is σ = 27534276. Its totient is φ = 2073600.

The previous prime is 7788953. The next prime is 7788983. The reversal of 7788960 is 698877.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 104976 = 2772^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12660 + ... + 13260.

Almost surely, 2^7788960 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 7788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767138).

7788960 is an abundant number, since it is smaller than the sum of its proper divisors (19745316).

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

7788960 is a wasteful number, since it uses less digits than its factorization.

7788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

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

The square root of 7788960 is about 2790.8708318373. The cubic root of 7788960 is about 198.2256380851.

The spelling of 7788960 in words is "seven million, seven hundred eighty-eight thousand, nine hundred sixty".