7681240 has 48 divisors (see below), whose sum is σ = 20109600. Its totient is φ = 2632896.

The previous prime is 7681231. The next prime is 7681243. The reversal of 7681240 is 421867.

7681240 is a nontrivial binomial coefficient, being equal to C(3920, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7681199 and 7681208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681243) 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, 1 + ... + 3919.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 2^7681240 is an apocalyptic number.

7681240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7681240 is the 3919-th triangular number and also the 1960-th hexagonal number.

7681240 is the 1307-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7681240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054800).

7681240 is an abundant number, since it is smaller than the sum of its proper divisors (12428360).

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

7681240 is a wasteful number, since it uses less digits than its factorization.

7681240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7681240 is about 2771.5050063097. The cubic root of 7681240 is about 197.3075837881.

It can be divided in two parts, 7681 and 240, that added together give a square (7921 = 89²).

The spelling of 7681240 in words is "seven million, six hundred eighty-one thousand, two hundred forty".