75988220 has 192 divisors, whose sum is σ = 217728000. Its totient is φ = 22014720.

The previous prime is 75988217. The next prime is 75988261. The reversal of 75988220 is 2288957.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1433714 + ... + 1433766.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^75988220 is an apocalyptic number.

75988220 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 75988220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

75988220 is an abundant number, since it is smaller than the sum of its proper divisors (141739780).

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

75988220 is a wasteful number, since it uses less digits than its factorization.

75988220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 75988220 is about 8717.1222315624. The cubic root of 75988220 is about 423.5604722061.

The spelling of 75988220 in words is "seventy-five million, nine hundred eighty-eight thousand, two hundred twenty".