75166980 has 144 divisors (see below), whose sum is σ = 251810496. Its totient is φ = 16692480.

The previous prime is 75166957. The next prime is 75166991. The reversal of 75166980 is 8966157.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108435 + ... + 109125.

It is an arithmetic number, because the mean of its divisors is an integer number (1748684).

Almost surely, 2^75166980 is an apocalyptic number.

75166980 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 75166980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125905248).

75166980 is an abundant number, since it is smaller than the sum of its proper divisors (176643516).

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

75166980 is a wasteful number, since it uses less digits than its factorization.

75166980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 75166980 is about 8669.8892726493. The cubic root of 75166980 is about 422.0290704201.

The spelling of 75166980 in words is "seventy-five million, one hundred sixty-six thousand, nine hundred eighty".