75947760 has 160 divisors (see below), whose sum is σ = 299028480. Its totient is φ = 17356032.

The previous prime is 75947741. The next prime is 75947797. The reversal of 75947760 is 6774957.

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 31 ways as a sum of consecutive naturals, for example, 12609 + ... + 17631.

It is an arithmetic number, because the mean of its divisors is an integer number (1868928).

Almost surely, 2^75947760 is an apocalyptic number.

75947760 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 75947760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149514240).

75947760 is an abundant number, since it is smaller than the sum of its proper divisors (223080720).

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

75947760 is a wasteful number, since it uses less digits than its factorization.

75947760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 75947760 is about 8714.8012025519. The cubic root of 75947760 is about 423.4852838011.

The spelling of 75947760 in words is "seventy-five million, nine hundred forty-seven thousand, seven hundred sixty".