6763680 has 288 divisors, whose sum is σ = 29248128. Its totient is φ = 1382400.

The previous prime is 6763663. The next prime is 6763681. The reversal of 6763680 is 863676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6763681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110850 + ... + 110910.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^6763680 is an apocalyptic number.

6763680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

6763680 is an abundant number, since it is smaller than the sum of its proper divisors (22484448).

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

6763680 is a wasteful number, since it uses less digits than its factorization.

6763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6763680 is about 2600.7075960207. The cubic root of 6763680 is about 189.1157433314.

It can be divided in two parts, 676 and 3680, that added together give a square (4356 = 66²).

The spelling of 6763680 in words is "six million, seven hundred sixty-three thousand, six hundred eighty".