75821920 has 24 divisors (see below), whose sum is σ = 179129664. Its totient is φ = 30328704.

The previous prime is 75821897. The next prime is 75821927. The reversal of 75821920 is 2912857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75821927) 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 3 ways as a sum of consecutive naturals, for example, 236784 + ... + 237103.

It is an arithmetic number, because the mean of its divisors is an integer number (7463736).

Almost surely, 2^75821920 is an apocalyptic number.

It is an amenable number.

75821920 is an abundant number, since it is smaller than the sum of its proper divisors (103307744).

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

75821920 is a wasteful number, since it uses less digits than its factorization.

75821920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473902 (or 473894 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 75821920 is about 8707.5783085770. The cubic root of 75821920 is about 423.2512595693.

The spelling of 75821920 in words is "seventy-five million, eight hundred twenty-one thousand, nine hundred twenty".