756030016 has 63 divisors (see below), whose sum is σ = 1748746947. Its totient is φ = 323352960.

The previous prime is 756029993. The next prime is 756030017. The reversal of 756030016 is 610030657.

The square root of 756030016 is 27496.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (756030017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1539531 + ... + 1540021.

Almost surely, 2^756030016 is an apocalyptic number.

756030016 is the 27496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756030016

756030016 is an abundant number, since it is smaller than the sum of its proper divisors (992716931).

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

756030016 is an frugal number, since it uses more digits than its factorization.

756030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The cubic root of 756030016 is about 910.9887477860.

The spelling of 756030016 in words is "seven hundred fifty-six million, thirty thousand, sixteen".