7880352 has 96 divisors (see below), whose sum is σ = 22353408. Its totient is φ = 2424576.

The previous prime is 7880351. The next prime is 7880359. The reversal of 7880352 is 2530887.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7880351) 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, 94903 + ... + 94985.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 2^7880352 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 7880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176704).

7880352 is an abundant number, since it is smaller than the sum of its proper divisors (14473056).

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

7880352 is a wasteful number, since it uses less digits than its factorization.

7880352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 7880352 is about 2807.1964662275. The cubic root of 7880352 is about 198.9979209062.

The spelling of 7880352 in words is "seven million, eight hundred eighty thousand, three hundred fifty-two".