75830216 has 144 divisors (see below), whose sum is σ = 194584320. Its totient is φ = 27086400.

The previous prime is 75830213. The next prime is 75830219. The reversal of 75830216 is 61203857.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75830213) and next prime (75830219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75830213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2446121 + ... + 2446151.

It is an arithmetic number, because the mean of its divisors is an integer number (1351280).

Almost surely, 2^75830216 is an apocalyptic number.

75830216 is a gapful number since it is divisible by the number (76) 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 75830216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

75830216 is an abundant number, since it is smaller than the sum of its proper divisors (118754104).

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

75830216 is a wasteful number, since it uses less digits than its factorization.

75830216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 75830216 is about 8708.0546622079. The cubic root of 75830216 is about 423.2666955822.

The spelling of 75830216 in words is "seventy-five million, eight hundred thirty thousand, two hundred sixteen".