75013820 has 48 divisors (see below), whose sum is σ = 181493760. Its totient is φ = 25510464.

The previous prime is 75013817. The next prime is 75013847. The reversal of 75013820 is 2831057.

It is a self number, because there is not a number n which added to its sum of digits gives 75013820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15671 + ... + 19889.

It is an arithmetic number, because the mean of its divisors is an integer number (3781120).

Almost surely, 2^75013820 is an apocalyptic number.

75013820 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 75013820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90746880).

75013820 is an abundant number, since it is smaller than the sum of its proper divisors (106479940).

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

75013820 is a wasteful number, since it uses less digits than its factorization.

75013820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 75013820 is about 8661.0518991633. The cubic root of 75013820 is about 421.7422338143.

Adding to 75013820 its reverse (2831057), we get a palindrome (77844877).

The spelling of 75013820 in words is "seventy-five million, thirteen thousand, eight hundred twenty".