75760460 has 36 divisors (see below), whose sum is σ = 163572192. Its totient is φ = 29474496.

The previous prime is 75760439. The next prime is 75760469. The reversal of 75760460 is 6406757.

It is a self number, because there is not a number n which added to its sum of digits gives 75760460.

It is not an unprimeable number, because it can be changed into a prime (75760469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25997 + ... + 28763.

It is an arithmetic number, because the mean of its divisors is an integer number (4543672).

Almost surely, 2^75760460 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 75760460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81786096).

75760460 is an abundant number, since it is smaller than the sum of its proper divisors (87811732).

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

75760460 is a wasteful number, since it uses less digits than its factorization.

75760460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 75760460 is about 8704.0484833209. The cubic root of 75760460 is about 423.1368684884.

The spelling of 75760460 in words is "seventy-five million, seven hundred sixty thousand, four hundred sixty".