75890688 has 72 divisors (see below), whose sum is σ = 203422968. Its totient is φ = 25165824.

The previous prime is 75890653. The next prime is 75890701. The reversal of 75890688 is 88609857.

It is a happy number.

It is a super-2 number, since 2×75890688² = 11518793050226688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75890688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393120 + ... + 393312.

It is an arithmetic number, because the mean of its divisors is an integer number (2825319).

Almost surely, 2^75890688 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 75890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101711484).

75890688 is an abundant number, since it is smaller than the sum of its proper divisors (127532280).

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

75890688 is an frugal number, since it uses more digits than its factorization.

75890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 75890688 is about 8711.5261579129. The cubic root of 75890688 is about 423.3791792510.

The spelling of 75890688 in words is "seventy-five million, eight hundred ninety thousand, six hundred eighty-eight".