75918920 has 96 divisors (see below), whose sum is σ = 214332480. Its totient is φ = 23512320.

The previous prime is 75918919. The next prime is 75918977. The reversal of 75918920 is 2981957.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 483482 + ... + 483638.

It is an arithmetic number, because the mean of its divisors is an integer number (2232630).

Almost surely, 2^75918920 is an apocalyptic number.

75918920 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 75918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107166240).

75918920 is an abundant number, since it is smaller than the sum of its proper divisors (138413560).

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

75918920 is a wasteful number, since it uses less digits than its factorization.

75918920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 75918920 is about 8713.1463892213. The cubic root of 75918920 is about 423.4316729953.

The spelling of 75918920 in words is "seventy-five million, nine hundred eighteen thousand, nine hundred twenty".