75475980 has 144 divisors (see below), whose sum is σ = 249631200. Its totient is φ = 18385920.

The previous prime is 75475919. The next prime is 75475993. The reversal of 75475980 is 8957457.

75475980 is a `hidden beast` number, since 7 + 54 + 7 + 598 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 98800 + ... + 99560.

It is an arithmetic number, because the mean of its divisors is an integer number (1733550).

Almost surely, 2^75475980 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 75475980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124815600).

75475980 is an abundant number, since it is smaller than the sum of its proper divisors (174155220).

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

75475980 is a wasteful number, since it uses less digits than its factorization.

75475980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 75475980 is about 8687.6912928580. The cubic root of 75475980 is about 422.6065788568.

The spelling of 75475980 in words is "seventy-five million, four hundred seventy-five thousand, nine hundred eighty".