75982860 has 240 divisors, whose sum is σ = 263450880. Its totient is φ = 18247680.

The previous prime is 75982859. The next prime is 75982873. The reversal of 75982860 is 6828957.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 853696 + ... + 853784.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^75982860 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 75982860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

75982860 is an abundant number, since it is smaller than the sum of its proper divisors (187468020).

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

75982860 is a wasteful number, since it uses less digits than its factorization.

75982860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 75982860 is about 8716.8147852298. The cubic root of 75982860 is about 423.5505130418.

The spelling of 75982860 in words is "seventy-five million, nine hundred eighty-two thousand, eight hundred sixty".