753936768 has 256 divisors, whose sum is σ = 2435025600. Its totient is φ = 228261888.

The previous prime is 753936763. The next prime is 753936793. The reversal of 753936768 is 867639357.

753936768 is a `hidden beast` number, since 7 + 539 + 36 + 76 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (5715360) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753936763) 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 31 ways as a sum of consecutive naturals, for example, 4357930 + ... + 4358102.

Almost surely, 2^753936768 is an apocalyptic number.

753936768 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 753936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217512800).

753936768 is an abundant number, since it is smaller than the sum of its proper divisors (1681088832).

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

753936768 is a wasteful number, since it uses less digits than its factorization.

753936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 753936768 is about 27457.9090245415. The cubic root of 753936768 is about 910.1472080011.

The spelling of 753936768 in words is "seven hundred fifty-three million, nine hundred thirty-six thousand, seven hundred sixty-eight".