7661600 has 72 divisors (see below), whose sum is σ = 19131588. Its totient is φ = 2995200.

The previous prime is 7661581. The next prime is 7661603. The reversal of 7661600 is 61667.

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 7246864 = 644^2 + 2692^2 .

It is a super-2 number, since 2×7661600² = 117400229120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7661600.

It is not an unprimeable number, because it can be changed into a prime (7661603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48722 + ... + 48878.

Almost surely, 2^7661600 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 7661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565794).

7661600 is an abundant number, since it is smaller than the sum of its proper divisors (11469988).

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

7661600 is a wasteful number, since it uses less digits than its factorization.

7661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 7661600 is about 2767.9595372765. The cubic root of 7661600 is about 197.1392763975.

The spelling of 7661600 in words is "seven million, six hundred sixty-one thousand, six hundred".