756470016 has 135 divisors (see below), whose sum is σ = 2267528263. Its totient is φ = 250836480.

The previous prime is 756470003. The next prime is 756470027. The reversal of 756470016 is 610074657.

The square root of 756470016 is 27504.

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

756470016 is a `hidden beast` number, since 7 + 5 + 647 + 0 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3960481 + ... + 3960671.

Almost surely, 2^756470016 is an apocalyptic number.

756470016 is the 27504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756470016

756470016 is an abundant number, since it is smaller than the sum of its proper divisors (1511058247).

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

756470016 is an frugal number, since it uses more digits than its factorization.

756470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 756470016 is about 911.1654415263.

Multiplying 756470016 by its sum of digits (36), we get a square (27232920576 = 165024²).

756470016 divided by its sum of digits (36) gives a square (21013056 = 4584²).

The spelling of 756470016 in words is "seven hundred fifty-six million, four hundred seventy thousand, sixteen".