753338880 has 480 divisors, whose sum is σ = 3110050944. Its totient is φ = 171196416.

The previous prime is 753338869. The next prime is 753338881. The reversal of 753338880 is 88833357.

It is a happy number.

753338880 is a `hidden beast` number, since 7 + 533 + 38 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (753338881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354474 + ... + 4354646.

Almost surely, 2^753338880 is an apocalyptic number.

753338880 is a gapful number since it is divisible by the number (70) 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 753338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555025472).

753338880 is an abundant number, since it is smaller than the sum of its proper divisors (2356712064).

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

753338880 is an equidigital number, since it uses as much as digits as its factorization.

753338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 753338880 is about 27447.0195103221. The cubic root of 753338880 is about 909.9065556345.

The spelling of 753338880 in words is "seven hundred fifty-three million, three hundred thirty-eight thousand, eight hundred eighty".