752080000 has 320 divisors, whose sum is σ = 2294265600. Its totient is φ = 239616000.

The previous prime is 752079989. The next prime is 752080009. The reversal of 752080000 is 80257.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (752080009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9519961 + ... + 9520039.

It is an arithmetic number, because the mean of its divisors is an integer number (7169580).

Almost surely, 2^752080000 is an apocalyptic number.

752080000 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 752080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147132800).

752080000 is an abundant number, since it is smaller than the sum of its proper divisors (1542185600).

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

752080000 is an equidigital number, since it uses as much as digits as its factorization.

752080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 752080000 is about 27424.0770127273. The cubic root of 752080000 is about 909.3994346753.

The spelling of 752080000 in words is "seven hundred fifty-two million, eighty thousand".