75316800 has 336 divisors, whose sum is σ = 285731712. Its totient is φ = 17203200.

The previous prime is 75316781. The next prime is 75316831. The reversal of 75316800 is 861357.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060765 + ... + 1060835.

It is an arithmetic number, because the mean of its divisors is an integer number (850392).

Almost surely, 2^75316800 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 75316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142865856).

75316800 is an abundant number, since it is smaller than the sum of its proper divisors (210414912).

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

75316800 is a wasteful number, since it uses less digits than its factorization.

75316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 75316800 is about 8678.5252203355. The cubic root of 75316800 is about 422.3092751662.

The spelling of 75316800 in words is "seventy-five million, three hundred sixteen thousand, eight hundred".