75397890 has 128 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 17280000.

The previous prime is 75397879. The next prime is 75397901. The reversal of 75397890 is 9879357.

It is an interprime number because it is at equal distance from previous prime (75397879) and next prime (75397901).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300265 + ... + 300515.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^75397890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75397890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

75397890 is an abundant number, since it is smaller than the sum of its proper divisors (133620990).

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

75397890 is a wasteful number, since it uses less digits than its factorization.

75397890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 75397890 is about 8683.1958402422. The cubic root of 75397890 is about 422.4607808792.

The spelling of 75397890 in words is "seventy-five million, three hundred ninety-seven thousand, eight hundred ninety".