78112401 has 16 divisors (see below), whose sum is σ = 111494400. Its totient is φ = 48495888.

The previous prime is 78112387. The next prime is 78112417. The reversal of 78112401 is 10421187.

It is not a de Polignac number, because 78112401 - 2⁵ = 78112369 is a prime.

It is a super-4 number, since 4×78112401⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (78112201) 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, 8251 + ... + 14976.

It is an arithmetic number, because the mean of its divisors is an integer number (6968400).

Almost surely, 2^78112401 is an apocalyptic number.

It is an amenable number.

78112401 is a deficient number, since it is larger than the sum of its proper divisors (33381999).

78112401 is a wasteful number, since it uses less digits than its factorization.

78112401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23308.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 78112401 is about 8838.1220290286. The cubic root of 78112401 is about 427.4710051810.

Adding to 78112401 its reverse (10421187), we get a palindrome (88533588).

The spelling of 78112401 in words is "seventy-eight million, one hundred twelve thousand, four hundred one".