7661340 has 72 divisors (see below), whose sum is σ = 24006528. Its totient is φ = 1975680.

The previous prime is 7661333. The next prime is 7661347. The reversal of 7661340 is 431667.

7661340 is a `hidden beast` number, since 7 + 6 + 613 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7661333) and next prime (7661347).

It is a super-2 number, since 2×7661340² = 117392261191200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7661347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4894 + ... + 6266.

It is an arithmetic number, because the mean of its divisors is an integer number (333424).

Almost surely, 2^7661340 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 7661340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003264).

7661340 is an abundant number, since it is smaller than the sum of its proper divisors (16345188).

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

7661340 is a wasteful number, since it uses less digits than its factorization.

7661340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7661340 is about 2767.9125708736. The cubic root of 7661340 is about 197.1370463676.

It can be divided in two parts, 7661 and 340, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7661340 in words is "seven million, six hundred sixty-one thousand, three hundred forty".