752730904080 has 60 divisors (see below), whose sum is σ = 2527921288620. Its totient is φ = 200728240896.

The previous prime is 752730903979. The next prime is 752730904087. The reversal of 752730904080 is 80409037257.

752730904080 is a `hidden beast` number, since 7 + 527 + 3 + 0 + 9 + 0 + 40 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 463613915664 + 289116988416 = 680892^2 + 537696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (752730904087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522729075 + ... + 522730514.

It is an arithmetic number, because the mean of its divisors is an integer number (42132021477).

Almost surely, 2^752730904080 is an apocalyptic number.

It is an amenable number.

752730904080 is an abundant number, since it is smaller than the sum of its proper divisors (1775190384540).

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

752730904080 is a wasteful number, since it uses less digits than its factorization.

752730904080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045459608 (or 1045459599 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 752730904080 in words is "seven hundred fifty-two billion, seven hundred thirty million, nine hundred four thousand, eighty".