753139680 has 96 divisors (see below), whose sum is σ = 2388331008. Its totient is φ = 199488000.

The previous prime is 753139633. The next prime is 753139691. The reversal of 753139680 is 86931357.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67285 + ... + 77675.

It is an arithmetic number, because the mean of its divisors is an integer number (24878448).

Almost surely, 2^753139680 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 753139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194165504).

753139680 is an abundant number, since it is smaller than the sum of its proper divisors (1635191328).

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

753139680 is a wasteful number, since it uses less digits than its factorization.

753139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 753139680 is about 27443.3904610928. The cubic root of 753139680 is about 909.8263485419.

The spelling of 753139680 in words is "seven hundred fifty-three million, one hundred thirty-nine thousand, six hundred eighty".