75760980 has 48 divisors (see below), whose sum is σ = 223298880. Its totient is φ = 19139328.

The previous prime is 75760967. The next prime is 75760981. The reversal of 75760980 is 8906757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75760981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32089 + ... + 34368.

It is an arithmetic number, because the mean of its divisors is an integer number (4652060).

Almost surely, 2^75760980 is an apocalyptic number.

It is an amenable number.

75760980 is an abundant number, since it is smaller than the sum of its proper divisors (147537900).

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

75760980 is a wasteful number, since it uses less digits than its factorization.

75760980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66488 (or 66486 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 75760980 is about 8704.0783544267. The cubic root of 75760980 is about 423.1378365865.

The spelling of 75760980 in words is "seventy-five million, seven hundred sixty thousand, nine hundred eighty".