753313680 has 240 divisors, whose sum is σ = 2915063424. Its totient is φ = 170772480.

The previous prime is 753313669. The next prime is 753313681. The reversal of 753313680 is 86313357.

753313680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (753313681) 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, 689935 + ... + 691025.

Almost surely, 2^753313680 is an apocalyptic number.

753313680 is a gapful number since it is divisible by the number (70) 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 753313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457531712).

753313680 is an abundant number, since it is smaller than the sum of its proper divisors (2161749744).

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

753313680 is a wasteful number, since it uses less digits than its factorization.

753313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 753313680 is about 27446.5604402446. The cubic root of 753313680 is about 909.8964097354.

The spelling of 753313680 in words is "seven hundred fifty-three million, three hundred thirteen thousand, six hundred eighty".