756744768 has 336 divisors, whose sum is σ = 2562880320. Its totient is φ = 219469824.

The previous prime is 756744761. The next prime is 756744803. The reversal of 756744768 is 867447657.

756744768 is a `hidden beast` number, since 7 + 567 + 4 + 4 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7902720) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756744761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841246 + ... + 3841442.

It is an arithmetic number, because the mean of its divisors is an integer number (7627620).

Almost surely, 2^756744768 is an apocalyptic number.

756744768 is a gapful number since it is divisible by the number (78) 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 756744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281440160).

756744768 is an abundant number, since it is smaller than the sum of its proper divisors (1806135552).

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

756744768 is a wasteful number, since it uses less digits than its factorization.

756744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 756744768 is about 27508.9943109522. The cubic root of 756744768 is about 911.2757407757.

The spelling of 756744768 in words is "seven hundred fifty-six million, seven hundred forty-four thousand, seven hundred sixty-eight".