756120000 has 140 divisors (see below), whose sum is σ = 2500305896. Its totient is φ = 201600000.

The previous prime is 756119993. The next prime is 756120023. The reversal of 756120000 is 21657.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116850 + ... + 123150.

Almost surely, 2^756120000 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 756120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250152948).

756120000 is an abundant number, since it is smaller than the sum of its proper divisors (1744185896).

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

756120000 is an equidigital number, since it uses as much as digits as its factorization.

756120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 756120000 is about 27497.6362620499. The cubic root of 756120000 is about 911.0248888376.

Adding to 756120000 its reverse (21657), we get a palindrome (756141657).

The spelling of 756120000 in words is "seven hundred fifty-six million, one hundred twenty thousand".