75414800 has 60 divisors (see below), whose sum is σ = 190739280. Its totient is φ = 28575360.

The previous prime is 75414797. The next prime is 75414817. The reversal of 75414800 is 841457.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2639 + ... + 12561.

It is an arithmetic number, because the mean of its divisors is an integer number (3178988).

Almost surely, 2^75414800 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 75414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95369640).

75414800 is an abundant number, since it is smaller than the sum of its proper divisors (115324480).

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

75414800 is a wasteful number, since it uses less digits than its factorization.

75414800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 75414800 is about 8684.1695054853. The cubic root of 75414800 is about 422.4923612405.

The spelling of 75414800 in words is "seventy-five million, four hundred fourteen thousand, eight hundred".