75398080 has 56 divisors (see below), whose sum is σ = 189006480. Its totient is φ = 28569600.

The previous prime is 75398069. The next prime is 75398083. The reversal of 75398080 is 8089357.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75398083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 12280.

Almost surely, 2^75398080 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 75398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94503240).

75398080 is an abundant number, since it is smaller than the sum of its proper divisors (113608400).

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

75398080 is a wasteful number, since it uses less digits than its factorization.

75398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 75398080 is about 8683.2067809076. The cubic root of 75398080 is about 422.4611357410.

The spelling of 75398080 in words is "seventy-five million, three hundred ninety-eight thousand, eighty".