75028800 has 504 divisors, whose sum is σ = 323148960. Its totient is φ = 15052800.

The previous prime is 75028799. The next prime is 75028813. The reversal of 75028800 is 882057.

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 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 71 ways as a sum of consecutive naturals, for example, 2587186 + ... + 2587214.

Almost surely, 2^75028800 is an apocalyptic number.

75028800 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 75028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161574480).

75028800 is an abundant number, since it is smaller than the sum of its proper divisors (248120160).

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

75028800 is a wasteful number, since it uses less digits than its factorization.

75028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

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

The square root of 75028800 is about 8661.9166470245. The cubic root of 75028800 is about 421.7703054335.

The spelling of 75028800 in words is "seventy-five million, twenty-eight thousand, eight hundred".