75882000 has 80 divisors (see below), whose sum is σ = 244662912. Its totient is φ = 20233600.

The previous prime is 75881969. The next prime is 75882011. The reversal of 75882000 is 28857.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 324 + ... + 12323.

Almost surely, 2^75882000 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 75882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122331456).

75882000 is an abundant number, since it is smaller than the sum of its proper divisors (168780912).

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

75882000 is a wasteful number, since it uses less digits than its factorization.

75882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 75882000 is about 8711.0274939297. The cubic root of 75882000 is about 423.3630224216.

The spelling of 75882000 in words is "seventy-five million, eight hundred eighty-two thousand".