6752782080 has 720 divisors, whose sum is σ = 27352055808. Its totient is φ = 1575936000.

The previous prime is 6752782079. The next prime is 6752782081. The reversal of 6752782080 is 802872576.

It is an interprime number because it is at equal distance from previous prime (6752782079) and next prime (6752782081).

It is a tau number, because it is divible by the number of its divisors (720).

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 (6752782081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35354785 + ... + 35354975.

Almost surely, 2^6752782080 is an apocalyptic number.

6752782080 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 6752782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676027904).

6752782080 is an abundant number, since it is smaller than the sum of its proper divisors (20599273728).

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

6752782080 is a wasteful number, since it uses less digits than its factorization.

6752782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 6752782080 is about 82175.3130812411. The cubic root of 6752782080 is about 1890.1411837087.

The spelling of 6752782080 in words is "six billion, seven hundred fifty-two million, seven hundred eighty-two thousand, eighty".