753904842 has 16 divisors (see below), whose sum is σ = 1508712480. Its totient is φ = 251151152.

The previous prime is 753904817. The next prime is 753904847. The reversal of 753904842 is 248409357.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 753904794 and 753904803.

It is not an unprimeable number, because it can be changed into a prime (753904847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26508 + ... + 47015.

It is an arithmetic number, because the mean of its divisors is an integer number (94294530).

Almost surely, 2^753904842 is an apocalyptic number.

753904842 is an abundant number, since it is smaller than the sum of its proper divisors (754807638).

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

753904842 is a wasteful number, since it uses less digits than its factorization.

753904842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75237.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 753904842 is about 27457.3276558372. The cubic root of 753904842 is about 910.1343608716.

The spelling of 753904842 in words is "seven hundred fifty-three million, nine hundred four thousand, eight hundred forty-two".