756240912 has 240 divisors, whose sum is σ = 2518588800. Its totient is φ = 211680000.

The previous prime is 756240893. The next prime is 756240913. The reversal of 756240912 is 219042657.

756240912 is a `hidden beast` number, since 7 + 562 + 4 + 0 + 91 + 2 = 666.

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 (756240913) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3012787 + ... + 3013037.

It is an arithmetic number, because the mean of its divisors is an integer number (10494120).

Almost surely, 2^756240912 is an apocalyptic number.

756240912 is a gapful number since it is divisible by the number (72) 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 756240912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259294400).

756240912 is an abundant number, since it is smaller than the sum of its proper divisors (1762347888).

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

756240912 is a wasteful number, since it uses less digits than its factorization.

756240912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

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

The square root of 756240912 is about 27499.8347631399. The cubic root of 756240912 is about 911.0734472544.

The spelling of 756240912 in words is "seven hundred fifty-six million, two hundred forty thousand, nine hundred twelve".