7888320 has 224 divisors, whose sum is σ = 30723840. Its totient is φ = 1889280.

The previous prime is 7888303. The next prime is 7888327. The reversal of 7888320 is 238887.

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 (7888327) 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, 94999 + ... + 95081.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 2^7888320 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 7888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

7888320 is an abundant number, since it is smaller than the sum of its proper divisors (22835520).

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

7888320 is a wasteful number, since it uses less digits than its factorization.

7888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7888320 is about 2808.6153171981. The cubic root of 7888320 is about 199.0649687283.

The spelling of 7888320 in words is "seven million, eight hundred eighty-eight thousand, three hundred twenty".