7490880 has 210 divisors, whose sum is σ = 28306014. Its totient is φ = 1880064.

The previous prime is 7490869. The next prime is 7490927. The reversal of 7490880 is 880947.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 4981824 = 1584^2 + 2232^2 .

It is a super-2 number, since 2×7490880² = 112226566348800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 440632 + ... + 440648.

Almost surely, 2^7490880 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 7490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153007).

7490880 is an abundant number, since it is smaller than the sum of its proper divisors (20815134).

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

7490880 is a wasteful number, since it uses less digits than its factorization.

7490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7490880 is about 2736.9472044597. The cubic root of 7490880 is about 195.6640085595.

The spelling of 7490880 in words is "seven million, four hundred ninety thousand, eight hundred eighty".