75797253 has 24 divisors (see below), whose sum is σ = 125406528. Its totient is φ = 43215552.

The previous prime is 75797179. The next prime is 75797269. The reversal of 75797253 is 35279757.

It is a happy number.

75797253 is a `hidden beast` number, since 7 + 579 + 72 + 5 + 3 = 666.

It is not a de Polignac number, because 75797253 - 2¹⁴ = 75780869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75797199 and 75797208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75797153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34401 + ... + 36537.

It is an arithmetic number, because the mean of its divisors is an integer number (5225272).

Almost surely, 2^75797253 is an apocalyptic number.

It is an amenable number.

75797253 is a deficient number, since it is larger than the sum of its proper divisors (49609275).

75797253 is a wasteful number, since it uses less digits than its factorization.

75797253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2710 counting only the distinct ones).

The product of its digits is 463050, while the sum is 45.

The square root of 75797253 is about 8706.1617834727. The cubic root of 75797253 is about 423.2053560839.

The spelling of 75797253 in words is "seventy-five million, seven hundred ninety-seven thousand, two hundred fifty-three".