75487680 has 112 divisors (see below), whose sum is σ = 266334240. Its totient is φ = 20127744.

The previous prime is 75487649. The next prime is 75487681. The reversal of 75487680 is 8678457.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75487681) 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, 4272 + ... + 13008.

Almost surely, 2^75487680 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 75487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133167120).

75487680 is an abundant number, since it is smaller than the sum of its proper divisors (190846560).

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

75487680 is a wasteful number, since it uses less digits than its factorization.

75487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 75487680 is about 8688.3646332322. The cubic root of 75487680 is about 422.6284146846.

It can be divided in two parts, 75487 and 680, that added together give a palindrome (76167).

The spelling of 75487680 in words is "seventy-five million, four hundred eighty-seven thousand, six hundred eighty".