6760480 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 2472960.

The previous prime is 6760477. The next prime is 6760483. The reversal of 6760480 is 840676.

It is an interprime number because it is at equal distance from previous prime (6760477) and next prime (6760483).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6760483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143817 + ... + 143863.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^6760480 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 6760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

6760480 is an abundant number, since it is smaller than the sum of its proper divisors (10657760).

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

6760480 is a wasteful number, since it uses less digits than its factorization.

6760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6760480 is about 2600.0923060538. The cubic root of 6760480 is about 189.0859141141.

The spelling of 6760480 in words is "six million, seven hundred sixty thousand, four hundred eighty".