75088890 has 64 divisors (see below), whose sum is σ = 203109120. Its totient is φ = 19736640.

The previous prime is 75088841. The next prime is 75088891. The reversal of 75088890 is 9888057.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (75088891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17212 + ... + 21128.

It is an arithmetic number, because the mean of its divisors is an integer number (3173580).

Almost surely, 2^75088890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75088890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101554560).

75088890 is an abundant number, since it is smaller than the sum of its proper divisors (128020230).

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

75088890 is a wasteful number, since it uses less digits than its factorization.

75088890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 75088890 is about 8665.3845846564. The cubic root of 75088890 is about 421.8828729395.

The spelling of 75088890 in words is "seventy-five million, eighty-eight thousand, eight hundred ninety".