753649216 has 56 divisors (see below), whose sum is σ = 1554480000. Its totient is φ = 362095104.

The previous prime is 753649207. The next prime is 753649229. The reversal of 753649216 is 612946357.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442735 + ... + 444433.

Almost surely, 2^753649216 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 753649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777240000).

753649216 is an abundant number, since it is smaller than the sum of its proper divisors (800830784).

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

753649216 is a wasteful number, since it uses less digits than its factorization.

753649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1969 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 753649216 is about 27452.6722925110. The cubic root of 753649216 is about 910.0314830311.

The spelling of 753649216 in words is "seven hundred fifty-three million, six hundred forty-nine thousand, two hundred sixteen".