756121992 has 64 divisors (see below), whose sum is σ = 1961472000. Its totient is φ = 242637120.

The previous prime is 756121957. The next prime is 756121999. The reversal of 756121992 is 299121657.

It is not an unprimeable number, because it can be changed into a prime (756121999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145503 + ... + 150609.

It is an arithmetic number, because the mean of its divisors is an integer number (30648000).

Almost surely, 2^756121992 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 756121992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980736000).

756121992 is an abundant number, since it is smaller than the sum of its proper divisors (1205350008).

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

756121992 is a wasteful number, since it uses less digits than its factorization.

756121992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5342 counting only the distinct ones).

The product of its digits is 68040, while the sum is 42.

The square root of 756121992 is about 27497.6724833212. The cubic root of 756121992 is about 911.0256888694.

The spelling of 756121992 in words is "seven hundred fifty-six million, one hundred twenty-one thousand, nine hundred ninety-two".