752084480 has 80 divisors (see below), whose sum is σ = 2060894880. Its totient is φ = 257851392.

The previous prime is 752084449. The next prime is 752084507. The reversal of 752084480 is 84480257.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3065 + ... + 38904.

It is an arithmetic number, because the mean of its divisors is an integer number (25761186).

Almost surely, 2^752084480 is an apocalyptic number.

752084480 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 752084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030447440).

752084480 is an abundant number, since it is smaller than the sum of its proper divisors (1308810400).

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

752084480 is an equidigital number, since it uses as much as digits as its factorization.

752084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41999 (or 41983 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 752084480 is about 27424.1586926564. The cubic root of 752084480 is about 909.4012403792.

The spelling of 752084480 in words is "seven hundred fifty-two million, eighty-four thousand, four hundred eighty".