7697920 has 80 divisors (see below), whose sum is σ = 19248768. Its totient is φ = 2949120.

The previous prime is 7697909. The next prime is 7697929. The reversal of 7697920 is 297967.

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7697929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79312 + ... + 79408.

Almost surely, 2^7697920 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 7697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624384).

7697920 is an abundant number, since it is smaller than the sum of its proper divisors (11550848).

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

7697920 is an equidigital number, since it uses as much as digits as its factorization.

7697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 7697920 is about 2774.5125698039. The cubic root of 7697920 is about 197.4502999442.

The spelling of 7697920 in words is "seven million, six hundred ninety-seven thousand, nine hundred twenty".