7768920 has 64 divisors (see below), whose sum is σ = 23574240. Its totient is φ = 2048000.

The previous prime is 7768907. The next prime is 7768921. The reversal of 7768920 is 298677.

It is a super-2 number, since 2×7768920² = 120712235932800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7768921) 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, 11800 + ... + 12440.

Almost surely, 2^7768920 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 7768920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787120).

7768920 is an abundant number, since it is smaller than the sum of its proper divisors (15805320).

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

7768920 is a wasteful number, since it uses less digits than its factorization.

7768920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7768920 is about 2787.2782423002. The cubic root of 7768920 is about 198.0554889883.

The spelling of 7768920 in words is "seven million, seven hundred sixty-eight thousand, nine hundred twenty".