756912420 has 288 divisors, whose sum is σ = 2688940800. Its totient is φ = 170311680.

The previous prime is 756912397. The next prime is 756912427. The reversal of 756912420 is 24219657.

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

It is not an unprimeable number, because it can be changed into a prime (756912427) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3803481 + ... + 3803679.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^756912420 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 756912420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

756912420 is an abundant number, since it is smaller than the sum of its proper divisors (1932028380).

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

756912420 is a wasteful number, since it uses less digits than its factorization.

756912420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 756912420 is about 27512.0413637374. The cubic root of 756912420 is about 911.3430315920.

The spelling of 756912420 in words is "seven hundred fifty-six million, nine hundred twelve thousand, four hundred twenty".