75328680 has 192 divisors, whose sum is σ = 274803840. Its totient is φ = 16439808.

The previous prime is 75328679. The next prime is 75328691. The reversal of 75328680 is 8682357.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134962 + ... + 135518.

It is an arithmetic number, because the mean of its divisors is an integer number (1431270).

Almost surely, 2^75328680 is an apocalyptic number.

75328680 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 75328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

75328680 is an abundant number, since it is smaller than the sum of its proper divisors (199475160).

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

75328680 is a wasteful number, since it uses less digits than its factorization.

75328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 75328680 is about 8679.2096414363. The cubic root of 75328680 is about 422.3314781383.

The spelling of 75328680 in words is "seventy-five million, three hundred twenty-eight thousand, six hundred eighty".