753313080 has 128 divisors (see below), whose sum is σ = 2440811520. Its totient is φ = 184896000.

The previous prime is 753313079. The next prime is 753313091. The reversal of 753313080 is 80313357.

753313080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002705 + ... + 1003455.

It is an arithmetic number, because the mean of its divisors is an integer number (19068840).

Almost surely, 2^753313080 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 753313080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220405760).

753313080 is an abundant number, since it is smaller than the sum of its proper divisors (1687498440).

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

753313080 is a wasteful number, since it uses less digits than its factorization.

753313080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 753313080 is about 27446.5495099111. The cubic root of 753313080 is about 909.8961681636.

The spelling of 753313080 in words is "seven hundred fifty-three million, three hundred thirteen thousand, eighty".