6765760080 has 60 divisors (see below), whose sum is σ = 22721680020. Its totient is φ = 1804202496.

The previous prime is 6765760033. The next prime is 6765760081. The reversal of 6765760080 is 800675676.

6765760080 is a `hidden beast` number, since 6 + 76 + 576 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3467325456 + 3298434624 = 58884^2 + 57432^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6765760081) 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, 4697725 + ... + 4699164.

It is an arithmetic number, because the mean of its divisors is an integer number (378694667).

Almost surely, 2^6765760080 is an apocalyptic number.

6765760080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6765760080 is an abundant number, since it is smaller than the sum of its proper divisors (15955919940).

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

6765760080 is a wasteful number, since it uses less digits than its factorization.

6765760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396908 (or 9396899 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6765760080 is about 82254.2404985907. The cubic root of 6765760080 is about 1891.3512802319.

The spelling of 6765760080 in words is "six billion, seven hundred sixty-five million, seven hundred sixty thousand, eighty".