753871680 has 84 divisors (see below), whose sum is σ = 2593014372. Its totient is φ = 201031680.

The previous prime is 753871673. The next prime is 753871687. The reversal of 753871680 is 86178357.

753871680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (753871673) and next prime (753871687).

It can be written as a sum of positive squares in 2 ways, for example, as 133263936 + 620607744 = 11544^2 + 24912^2 .

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 (753871687) 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, 128001 + ... + 133760.

Almost surely, 2^753871680 is an apocalyptic number.

It is an amenable number.

753871680 is an abundant number, since it is smaller than the sum of its proper divisors (1839142692).

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

753871680 is a wasteful number, since it uses less digits than its factorization.

753871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261784 (or 261771 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 753871680 is about 27456.7237666842. The cubic root of 753871680 is about 910.1210159875.

The spelling of 753871680 in words is "seven hundred fifty-three million, eight hundred seventy-one thousand, six hundred eighty".