7552080 has 120 divisors (see below), whose sum is σ = 26897832. Its totient is φ = 1892352.

The previous prime is 7552079. The next prime is 7552081. The reversal of 7552080 is 802557.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7552079) and next prime (7552081).

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 7354944 = 444^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7552081) 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 23 ways as a sum of consecutive naturals, for example, 11932 + ... + 12548.

Almost surely, 2^7552080 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 7552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448916).

7552080 is an abundant number, since it is smaller than the sum of its proper divisors (19345752).

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

7552080 is a wasteful number, since it uses less digits than its factorization.

7552080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 7552080 is about 2748.1048014950. The cubic root of 7552080 is about 196.1954180365.

The spelling of 7552080 in words is "seven million, five hundred fifty-two thousand, eighty".