7081600 has 48 divisors (see below), whose sum is σ = 17501670. Its totient is φ = 2831360.

The previous prime is 7081589. The next prime is 7081603. The reversal of 7081600 is 61807.

It can be written as a sum of positive squares in 3 ways, for example, as 6843456 + 238144 = 2616^2 + 488^2 .

It is not an unprimeable number, because it can be changed into a prime (7081603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2094 + ... + 4306.

Almost surely, 2^7081600 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 7081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750835).

7081600 is an abundant number, since it is smaller than the sum of its proper divisors (10420070).

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

7081600 is a wasteful number, since it uses less digits than its factorization.

7081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 7081600 is about 2661.1275805568. The cubic root of 7081600 is about 192.0335589488.

The spelling of 7081600 in words is "seven million, eighty-one thousand, six hundred".