7663920 has 80 divisors (see below), whose sum is σ = 25926912. Its totient is φ = 1857280.

The previous prime is 7663907. The next prime is 7663927. The reversal of 7663920 is 293667.

7663920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7663927) 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 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 4091.

Almost surely, 2^7663920 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 7663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456).

7663920 is an abundant number, since it is smaller than the sum of its proper divisors (18262992).

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

7663920 is a wasteful number, since it uses less digits than its factorization.

7663920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 7663920 is about 2768.3785868266. The cubic root of 7663920 is about 197.1591728928.

The spelling of 7663920 in words is "seven million, six hundred sixty-three thousand, nine hundred twenty".