752080387968 has 1024 divisors, whose sum is σ = 2804820480000. Its totient is φ = 193133445120.

The previous prime is 752080387963. The next prime is 752080388047. The reversal of 752080387968 is 869783080257.

752080387968 is a `hidden beast` number, since 7 + 520 + 8 + 0 + 38 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752080387963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3779298333 + ... + 3779298531.

It is an arithmetic number, because the mean of its divisors is an integer number (2739082500).

Almost surely, 2^752080387968 is an apocalyptic number.

752080387968 is a gapful number since it is divisible by the number (78) 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 752080387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402410240000).

752080387968 is an abundant number, since it is smaller than the sum of its proper divisors (2052740092032).

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

752080387968 is a wasteful number, since it uses less digits than its factorization.

752080387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 752080387968 in words is "seven hundred fifty-two billion, eighty million, three hundred eighty-seven thousand, nine hundred sixty-eight".