753366768 has 240 divisors, whose sum is σ = 2539730304. Its totient is φ = 190149120.

The previous prime is 753366767. The next prime is 753366821. The reversal of 753366768 is 867663357.

It is a happy number.

It is a super-2 number, since 2×753366768² = 1135122974253531648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 753366768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753366767) 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, 956871 + ... + 957657.

Almost surely, 2^753366768 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 753366768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269865152).

753366768 is an abundant number, since it is smaller than the sum of its proper divisors (1786363536).

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

753366768 is a wasteful number, since it uses less digits than its factorization.

753366768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 847 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The square root of 753366768 is about 27447.5275389242. The cubic root of 753366768 is about 909.9177834992.

The spelling of 753366768 in words is "seven hundred fifty-three million, three hundred sixty-six thousand, seven hundred sixty-eight".