752808401280 has 384 divisors, whose sum is σ = 2903199455520. Its totient is φ = 185306185728.

The previous prime is 752808401273. The next prime is 752808401297. The reversal of 752808401280 is 82104808257.

It is a happy number.

752808401280 is a `hidden beast` number, since 7 + 528 + 0 + 8 + 40 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1835584 + ... + 2207936.

Almost surely, 2^752808401280 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 752808401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451599727760).

752808401280 is an abundant number, since it is smaller than the sum of its proper divisors (2150391054240).

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

752808401280 is a wasteful number, since it uses less digits than its factorization.

752808401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372400 (or 372376 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 752808401280 in words is "seven hundred fifty-two billion, eight hundred eight million, four hundred one thousand, two hundred eighty".