756706720 has 192 divisors, whose sum is σ = 2360606976. Its totient is φ = 221921280.

The previous prime is 756706679. The next prime is 756706723. The reversal of 756706720 is 27607657.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (756706723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207634 + ... + 211246.

It is an arithmetic number, because the mean of its divisors is an integer number (12294828).

Almost surely, 2^756706720 is an apocalyptic number.

756706720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180303488).

756706720 is an abundant number, since it is smaller than the sum of its proper divisors (1603900256).

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

756706720 is a wasteful number, since it uses less digits than its factorization.

756706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 756706720 is about 27508.3027466254. The cubic root of 756706720 is about 911.2604679907.

The spelling of 756706720 in words is "seven hundred fifty-six million, seven hundred six thousand, seven hundred twenty".