75803220 has 72 divisors (see below), whose sum is σ = 230781096. Its totient is φ = 20140032.

The previous prime is 75803213. The next prime is 75803243. The reversal of 75803220 is 2230857.

It can be written as a sum of positive squares in 4 ways, for example, as 5846724 + 69956496 = 2418^2 + 8364^2 .

It is a super-2 number, since 2×75803220² = 11492256324736800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62944 + ... + 64136.

It is an arithmetic number, because the mean of its divisors is an integer number (3205293).

Almost surely, 2^75803220 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 75803220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115390548).

75803220 is an abundant number, since it is smaller than the sum of its proper divisors (154977876).

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

75803220 is a wasteful number, since it uses less digits than its factorization.

75803220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75803220 is about 8706.5044650537. The cubic root of 75803220 is about 423.2164611481.

The spelling of 75803220 in words is "seventy-five million, eight hundred three thousand, two hundred twenty".