7693920 has 192 divisors, whose sum is σ = 29211840. Its totient is φ = 1880064.

The previous prime is 7693919. The next prime is 7693927. The reversal of 7693920 is 293967.

7693920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7693927) 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 31 ways as a sum of consecutive naturals, for example, 56092 + ... + 56228.

It is an arithmetic number, because the mean of its divisors is an integer number (152145).

Almost surely, 2^7693920 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 7693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

7693920 is an abundant number, since it is smaller than the sum of its proper divisors (21517920).

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

7693920 is a wasteful number, since it uses less digits than its factorization.

7693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 7693920 is about 2773.7916287998. The cubic root of 7693920 is about 197.4160942523.

The spelling of 7693920 in words is "seven million, six hundred ninety-three thousand, nine hundred twenty".