756499968 has 240 divisors, whose sum is σ = 2553408000. Its totient is φ = 211120128.

The previous prime is 756499967. The next prime is 756500021. The reversal of 756499968 is 869994657.

It is a happy number.

756499968 is a `hidden beast` number, since 7 + 56 + 499 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756499967) 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 23 ways as a sum of consecutive naturals, for example, 1515783 + ... + 1516281.

It is an arithmetic number, because the mean of its divisors is an integer number (10639200).

Almost surely, 2^756499968 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 756499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276704000).

756499968 is an abundant number, since it is smaller than the sum of its proper divisors (1796908032).

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

756499968 is a wasteful number, since it uses less digits than its factorization.

756499968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 558 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 756499968 is about 27504.5444972281. The cubic root of 756499968 is about 911.1774670600.

The spelling of 756499968 in words is "seven hundred fifty-six million, four hundred ninety-nine thousand, nine hundred sixty-eight".