75538680 has 128 divisors (see below), whose sum is σ = 272678400. Its totient is φ = 16353792.

The previous prime is 75538637. The next prime is 75538691. The reversal of 75538680 is 8683557.

It is a super-2 number, since 2×75538680² = 11412184352284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13594 + ... + 18326.

It is an arithmetic number, because the mean of its divisors is an integer number (2130300).

Almost surely, 2^75538680 is an apocalyptic number.

75538680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75538680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136339200).

75538680 is an abundant number, since it is smaller than the sum of its proper divisors (197139720).

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

75538680 is a wasteful number, since it uses less digits than its factorization.

75538680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 75538680 is about 8691.2990973732. The cubic root of 75538680 is about 422.7235701543.

The spelling of 75538680 in words is "seventy-five million, five hundred thirty-eight thousand, six hundred eighty".