7667920 has 80 divisors (see below), whose sum is σ = 19654992. Its totient is φ = 2764800.

The previous prime is 7667911. The next prime is 7667923. The reversal of 7667920 is 297667.

It can be written as a sum of positive squares in 8 ways, for example, as 28224 + 7639696 = 168^2 + 2764^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 7667920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7667923) 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, 75870 + ... + 75970.

Almost surely, 2^7667920 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 7667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827496).

7667920 is an abundant number, since it is smaller than the sum of its proper divisors (11987072).

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

7667920 is a wasteful number, since it uses less digits than its factorization.

7667920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 7667920 is about 2769.1009371274. The cubic root of 7667920 is about 197.1934677674.

The spelling of 7667920 in words is "seven million, six hundred sixty-seven thousand, nine hundred twenty".