78045201 has 40 divisors (see below), whose sum is σ = 126704424. Its totient is φ = 47589120.

The previous prime is 78045167. The next prime is 78045223. The reversal of 78045201 is 10254087.

It can be written as a sum of positive squares in 4 ways, for example, as 2772225 + 75272976 = 1665^2 + 8676^2 .

It is not a de Polignac number, because 78045201 - 2⁶ = 78045137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78045251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143991 + ... + 144531.

Almost surely, 2^78045201 is an apocalyptic number.

It is an amenable number.

78045201 is a deficient number, since it is larger than the sum of its proper divisors (48659223).

78045201 is a wasteful number, since it uses less digits than its factorization.

78045201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 78045201 is about 8834.3194984107. The cubic root of 78045201 is about 427.3483857557.

Adding to 78045201 its reverse (10254087), we get a palindrome (88299288).

The spelling of 78045201 in words is "seventy-eight million, forty-five thousand, two hundred one".