75803328 has 84 divisors (see below), whose sum is σ = 219596208. Its totient is φ = 24998400.

The previous prime is 75803327. The next prime is 75803381. The reversal of 75803328 is 82330857.

It is a super-2 number, since 2×75803328² = 11492289071751168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75803292 and 75803301.

It is not an unprimeable number, because it can be changed into a prime (75803327) 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, 57525 + ... + 58827.

Almost surely, 2^75803328 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 75803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798104).

75803328 is an abundant number, since it is smaller than the sum of its proper divisors (143792880).

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

75803328 is a wasteful number, since it uses less digits than its factorization.

75803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 75803328 is about 8706.5106673110. The cubic root of 75803328 is about 423.2166621394.

The spelling of 75803328 in words is "seventy-five million, eight hundred three thousand, three hundred twenty-eight".