78353401 has 12 divisors (see below), whose sum is σ = 91619748. Its totient is φ = 66810912.

The previous prime is 78353377. The next prime is 78353413. The reversal of 78353401 is 10435387.

It can be written as a sum of positive squares in 2 ways, for example, as 74373376 + 3980025 = 8624^2 + 1995^2 .

It is not a de Polignac number, because 78353401 - 2⁵ = 78353369 is a prime.

It is a super-2 number, since 2×78353401² = 12278510896533602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78353441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5595 + ... + 13711.

It is an arithmetic number, because the mean of its divisors is an integer number (7634979).

Almost surely, 2^78353401 is an apocalyptic number.

It is an amenable number.

78353401 is a deficient number, since it is larger than the sum of its proper divisors (13266347).

78353401 is a wasteful number, since it uses less digits than its factorization.

78353401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 78353401 is about 8851.7456470461. The cubic root of 78353401 is about 427.9101789123.

Adding to 78353401 its reverse (10435387), we get a palindrome (88788788).

It can be divided in two parts, 7835 and 3401, that added together give a square (11236 = 106²).

The spelling of 78353401 in words is "seventy-eight million, three hundred fifty-three thousand, four hundred one".