752080896000 has 1920 divisors, whose sum is σ = 3336886425600. Its totient is φ = 163499212800.

The previous prime is 752080895963. The next prime is 752080896107. The reversal of 752080896000 is 698080257.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11225087967 + ... + 11225088033.

It is an arithmetic number, because the mean of its divisors is an integer number (1737961680).

Almost surely, 2^752080896000 is an apocalyptic number.

752080896000 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 752080896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668443212800).

752080896000 is an abundant number, since it is smaller than the sum of its proper divisors (2584805529600).

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

752080896000 is an equidigital number, since it uses as much as digits as its factorization.

752080896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 752080896000 in words is "seven hundred fifty-two billion, eighty million, eight hundred ninety-six thousand".