75891640 has 64 divisors (see below), whose sum is σ = 187544160. Its totient is φ = 27409920.

The previous prime is 75891619. The next prime is 75891649. The reversal of 75891640 is 4619857.

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

It is a junction number, because it is equal to n+sod(n) for n = 75891593 and 75891602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75891649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75622 + ... + 76618.

Almost surely, 2^75891640 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 75891640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93772080).

75891640 is an abundant number, since it is smaller than the sum of its proper divisors (111652520).

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

75891640 is a wasteful number, since it uses less digits than its factorization.

75891640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

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

The square root of 75891640 is about 8711.5807979953. The cubic root of 75891640 is about 423.3809495836.

It can be divided in two parts, 7589 and 1640, that added together give a palindrome (9229).

The spelling of 75891640 in words is "seventy-five million, eight hundred ninety-one thousand, six hundred forty".