75896800 has 72 divisors (see below), whose sum is σ = 211767696. Its totient is φ = 26019840.

The previous prime is 75896791. The next prime is 75896837. The reversal of 75896800 is 869857.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1177 + ... + 12376.

It is an arithmetic number, because the mean of its divisors is an integer number (2941218).

Almost surely, 2^75896800 is an apocalyptic number.

75896800 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 75896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105883848).

75896800 is an abundant number, since it is smaller than the sum of its proper divisors (135870896).

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

75896800 is a wasteful number, since it uses less digits than its factorization.

75896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 75896800 is about 8711.8769504625. The cubic root of 75896800 is about 423.3905448267.

The spelling of 75896800 in words is "seventy-five million, eight hundred ninety-six thousand, eight hundred".