75412980 has 36 divisors (see below), whose sum is σ = 228753252. Its totient is φ = 20110080.

The previous prime is 75412951. The next prime is 75412999. The reversal of 75412980 is 8921457.

It can be written as a sum of positive squares in 2 ways, for example, as 53846244 + 21566736 = 7338^2 + 4644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209301 + ... + 209660.

It is an arithmetic number, because the mean of its divisors is an integer number (6354257).

Almost surely, 2^75412980 is an apocalyptic number.

It is an amenable number.

75412980 is an abundant number, since it is smaller than the sum of its proper divisors (153340272).

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

75412980 is a wasteful number, since it uses less digits than its factorization.

75412980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418976 (or 418971 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 75412980 is about 8684.0647164793. The cubic root of 75412980 is about 422.4889625164.

The spelling of 75412980 in words is "seventy-five million, four hundred twelve thousand, nine hundred eighty".