7542080 has 168 divisors, whose sum is σ = 23106888. Its totient is φ = 2322432.

The previous prime is 7542077. The next prime is 7542097. The reversal of 7542080 is 802457.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 6635776 = 952^2 + 2576^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203822 + ... + 203858.

It is an arithmetic number, because the mean of its divisors is an integer number (137541).

Almost surely, 2^7542080 is an apocalyptic number.

7542080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553444).

7542080 is an abundant number, since it is smaller than the sum of its proper divisors (15564808).

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

7542080 is a wasteful number, since it uses less digits than its factorization.

7542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 7542080 is about 2746.2847630936. The cubic root of 7542080 is about 196.1087831498.

The spelling of 7542080 in words is "seven million, five hundred forty-two thousand, eighty".