75456801 has 24 divisors (see below), whose sum is σ = 127934144. Its totient is φ = 41951520.

The previous prime is 75456793. The next prime is 75456803. The reversal of 75456801 is 10865457.

It is not a de Polignac number, because 75456801 - 2³ = 75456793 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75456803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13855 + ... + 18516.

Almost surely, 2^75456801 is an apocalyptic number.

It is an amenable number.

75456801 is a deficient number, since it is larger than the sum of its proper divisors (52477343).

75456801 is a wasteful number, since it uses less digits than its factorization.

75456801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32421 (or 32418 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75456801 is about 8686.5874196948. The cubic root of 75456801 is about 422.5707800142.

The spelling of 75456801 in words is "seventy-five million, four hundred fifty-six thousand, eight hundred one".