75801820 has 48 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 29033280.

The previous prime is 75801809. The next prime is 75801821. The reversal of 75801820 is 2810857.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75801821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63267 + ... + 64453.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2^75801820 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 75801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

75801820 is an abundant number, since it is smaller than the sum of its proper divisors (90252068).

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

75801820 is a wasteful number, since it uses less digits than its factorization.

75801820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 75801820 is about 8706.4240650223. The cubic root of 75801820 is about 423.2138556885.

The spelling of 75801820 in words is "seventy-five million, eight hundred one thousand, eight hundred twenty".