7606820 has 48 divisors (see below), whose sum is σ = 18225648. Its totient is φ = 2641920.

The previous prime is 7606817. The next prime is 7606843. The reversal of 7606820 is 286067.

7606820 = T₁₄₄ + T₁₄₅ + ... + T₃₆₄.

It can be written as a sum of positive squares in 8 ways, for example, as 256 + 7606564 = 16^2 + 2758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560 + ... + 5280.

It is an arithmetic number, because the mean of its divisors is an integer number (379701).

Almost surely, 2^7606820 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 7606820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9112824).

7606820 is an abundant number, since it is smaller than the sum of its proper divisors (10618828).

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

7606820 is a wasteful number, since it uses less digits than its factorization.

7606820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 7606820 is about 2758.0464100519. The cubic root of 7606820 is about 196.6683073054.

The spelling of 7606820 in words is "seven million, six hundred six thousand, eight hundred twenty".