752984064 has 168 divisors, whose sum is σ = 2487594720. Its totient is φ = 214990848.

The previous prime is 752984047. The next prime is 752984083. The reversal of 752984064 is 460489257.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515367 + ... + 516825.

Almost surely, 2^752984064 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 752984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243797360).

752984064 is an abundant number, since it is smaller than the sum of its proper divisors (1734610656).

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

752984064 is a wasteful number, since it uses less digits than its factorization.

752984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 752984064 is about 27440.5550964262. Note that the first 3 decimals coincide. The cubic root of 752984064 is about 909.7636805342.

The spelling of 752984064 in words is "seven hundred fifty-two million, nine hundred eighty-four thousand, sixty-four".