75968640 has 288 divisors, whose sum is σ = 290990700. Its totient is φ = 18247680.

The previous prime is 75968639. The next prime is 75968653. The reversal of 75968640 is 4686957.

It can be written as a sum of positive squares in 2 ways, for example, as 75898944 + 69696 = 8712^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696906 + ... + 697014.

Almost surely, 2^75968640 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 75968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145495350).

75968640 is an abundant number, since it is smaller than the sum of its proper divisors (215022060).

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

75968640 is a wasteful number, since it uses less digits than its factorization.

75968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 75968640 is about 8715.9990821477. Note that the first 3 decimals coincide. The cubic root of 75968640 is about 423.5240892577.

The spelling of 75968640 in words is "seventy-five million, nine hundred sixty-eight thousand, six hundred forty".