7606800 has 90 divisors (see below), whose sum is σ = 26410202. Its totient is φ = 2027520.

The previous prime is 7606799. The next prime is 7606801. The reversal of 7606800 is 86067.

It is an interprime number because it is at equal distance from previous prime (7606799) and next prime (7606801).

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 7485696 = 348^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7606801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2544 + ... + 4656.

Almost surely, 2^7606800 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 7606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205101).

7606800 is an abundant number, since it is smaller than the sum of its proper divisors (18803402).

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

7606800 is a wasteful number, since it uses less digits than its factorization.

7606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7606800 is about 2758.0427842947. The cubic root of 7606800 is about 196.6681349439.

The spelling of 7606800 in words is "seven million, six hundred six thousand, eight hundred".