753639680 has 72 divisors (see below), whose sum is σ = 1854108312. Its totient is φ = 293289984.

The previous prime is 753639673. The next prime is 753639683. The reversal of 753639680 is 86936357.

It can be written as a sum of positive squares in 4 ways, for example, as 326308096 + 427331584 = 18064^2 + 20672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753639683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39404 + ... + 55316.

Almost surely, 2^753639680 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 753639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927054156).

753639680 is an abundant number, since it is smaller than the sum of its proper divisors (1100468632).

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

753639680 is a wasteful number, since it uses less digits than its factorization.

753639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971 (or 15957 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 753639680 is about 27452.4986112376. The cubic root of 753639680 is about 910.0276447746.

The spelling of 753639680 in words is "seven hundred fifty-three million, six hundred thirty-nine thousand, six hundred eighty".