75887920 has 40 divisors (see below), whose sum is σ = 176886000. Its totient is φ = 30278400.

The previous prime is 75887873. The next prime is 75887927. The reversal of 75887920 is 2978857.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75887927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38970 + ... + 40870.

It is an arithmetic number, because the mean of its divisors is an integer number (4422150).

Almost surely, 2^75887920 is an apocalyptic number.

It is an amenable number.

75887920 is an abundant number, since it is smaller than the sum of its proper divisors (100998080).

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

75887920 is a wasteful number, since it uses less digits than its factorization.

75887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The square root of 75887920 is about 8711.3672864826. The cubic root of 75887920 is about 423.3740318130.

The spelling of 75887920 in words is "seventy-five million, eight hundred eighty-seven thousand, nine hundred twenty".