753825408 has 96 divisors (see below), whose sum is σ = 2329320960. Its totient is φ = 215373312.

The previous prime is 753825403. The next prime is 753825421. The reversal of 753825408 is 804528357.

753825408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 753825408.

It is not an unprimeable number, because it can be changed into a prime (753825403) 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, 1216 + ... + 38847.

It is an arithmetic number, because the mean of its divisors is an integer number (24263760).

Almost surely, 2^753825408 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 753825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164660480).

753825408 is an abundant number, since it is smaller than the sum of its proper divisors (1575495552).

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

753825408 is a wasteful number, since it uses less digits than its factorization.

753825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40094 (or 40075 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 753825408 is about 27455.8811186237. The cubic root of 753825408 is about 910.1023947896.

The spelling of 753825408 in words is "seven hundred fifty-three million, eight hundred twenty-five thousand, four hundred eight".