7660440 has 128 divisors (see below), whose sum is σ = 26308800. Its totient is φ = 1981440.

The previous prime is 7660427. The next prime is 7660459. The reversal of 7660440 is 440667.

7660440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44194 + ... + 44366.

Almost surely, 2^7660440 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 7660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154400).

7660440 is an abundant number, since it is smaller than the sum of its proper divisors (18648360).

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

7660440 is a wasteful number, since it uses less digits than its factorization.

7660440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7660440 is about 2767.7499887092. The cubic root of 7660440 is about 197.1293266436.

It can be divided in two parts, 7660 and 440, that added together give a square (8100 = 90²).

The spelling of 7660440 in words is "seven million, six hundred sixty thousand, four hundred forty".