7661040 has 80 divisors (see below), whose sum is σ = 24025248. Its totient is φ = 2019328.

The previous prime is 7661039. The next prime is 7661053. The reversal of 7661040 is 401667.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7661040.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32764 + ... + 32996.

Almost surely, 2^7661040 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 7661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12012624).

7661040 is an abundant number, since it is smaller than the sum of its proper divisors (16364208).

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

7661040 is a wasteful number, since it uses less digits than its factorization.

7661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7661040 is about 2767.8583778799. The cubic root of 7661040 is about 197.1344731934.

It can be divided in two parts, 76 and 61040, that added together give a palindrome (61116).

The spelling of 7661040 in words is "seven million, six hundred sixty-one thousand, forty".