753360768 has 96 divisors (see below), whose sum is σ = 2262209040. Its totient is φ = 240193536.

The previous prime is 753360761. The next prime is 753360787. The reversal of 753360768 is 867063357.

753360768 is a `hidden beast` number, since 7 + 5 + 33 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753360761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12280 + ... + 40712.

Almost surely, 2^753360768 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 753360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131104520).

753360768 is an abundant number, since it is smaller than the sum of its proper divisors (1508848272).

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

753360768 is a wasteful number, since it uses less digits than its factorization.

753360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28476 (or 28461 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 753360768 is about 27447.4182392443. The cubic root of 753360768 is about 909.9153678890.

The spelling of 753360768 in words is "seven hundred fifty-three million, three hundred sixty thousand, seven hundred sixty-eight".