75882378 has 64 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 20852160.

The previous prime is 75882377. The next prime is 75882397. The reversal of 75882378 is 87328857.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (75882377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49873 + ... + 51371.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2^75882378 is an apocalyptic number.

75882378 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75882378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

75882378 is an abundant number, since it is smaller than the sum of its proper divisors (105557622).

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

75882378 is a wasteful number, since it uses less digits than its factorization.

75882378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587.

The product of its digits is 752640, while the sum is 48.

The square root of 75882378 is about 8711.0491905396. The cubic root of 75882378 is about 423.3637254033.

The spelling of 75882378 in words is "seventy-five million, eight hundred eighty-two thousand, three hundred seventy-eight".