756690064 has 75 divisors (see below), whose sum is σ = 1659698553. Its totient is φ = 334057152.

The previous prime is 756690059. The next prime is 756690073. The reversal of 756690064 is 460096657.

The square root of 756690064 is 27508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 111936400 + 644753664 = 10580^2 + 25392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 756690064.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32899557 + ... + 32899579.

Almost surely, 2^756690064 is an apocalyptic number.

756690064 is the 27508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756690064

756690064 is an abundant number, since it is smaller than the sum of its proper divisors (903008489).

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

756690064 is an frugal number, since it uses more digits than its factorization.

756690064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 38 counting only the distinct ones).

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

The cubic root of 756690064 is about 911.2537819720.

The spelling of 756690064 in words is "seven hundred fifty-six million, six hundred ninety thousand, sixty-four".