75796240 has 80 divisors (see below), whose sum is σ = 195987456. Its totient is φ = 27072000.

The previous prime is 75796223. The next prime is 75796241. The reversal of 75796240 is 4269757.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 75796193 and 75796202.

It is not an unprimeable number, because it can be changed into a prime (75796241) 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, 31065 + ... + 33415.

Almost surely, 2^75796240 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 75796240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728).

75796240 is an abundant number, since it is smaller than the sum of its proper divisors (120191216).

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

75796240 is a wasteful number, since it uses less digits than its factorization.

75796240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 75796240 is about 8706.1036060915. The cubic root of 75796240 is about 423.2034707520.

The spelling of 75796240 in words is "seventy-five million, seven hundred ninety-six thousand, two hundred forty".