75965040 has 200 divisors, whose sum is σ = 278174160. Its totient is φ = 19160064.

The previous prime is 75965023. The next prime is 75965051. The reversal of 75965040 is 4056957.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75964986 and 75965004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122812 + ... + 123428.

Almost surely, 2^75965040 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 75965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139087080).

75965040 is an abundant number, since it is smaller than the sum of its proper divisors (202209120).

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

75965040 is a wasteful number, since it uses less digits than its factorization.

75965040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 75965040 is about 8715.7925629285. The cubic root of 75965040 is about 423.5173991691.

The spelling of 75965040 in words is "seventy-five million, nine hundred sixty-five thousand, forty".