78801129 has 27 divisors (see below), whose sum is σ = 125578999. Its totient is φ = 47580720.

The previous prime is 78801127. The next prime is 78801131. The reversal of 78801129 is 92110887.

The square root of 78801129 is 8877.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (78801127) and next prime (78801131).

It can be written as a sum of positive squares in only one way, i.e., 5184729 + 73616400 = 2277^2 + 8580^2 .

It is not a de Polignac number, because 78801129 - 2¹ = 78801127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78801093 and 78801102.

It is not an unprimeable number, because it can be changed into a prime (78801127) 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 26 ways as a sum of consecutive naturals, for example, 292807 + ... + 293075.

Almost surely, 2^78801129 is an apocalyptic number.

78801129 is the 8877-th square number.

78801129 is the 4439-th centered octagonal number.

It is an amenable number.

78801129 is a deficient number, since it is larger than the sum of its proper divisors (46777870).

78801129 is a wasteful number, since it uses less digits than its factorization.

78801129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The cubic root of 78801129 is about 428.7236879477.

Multiplying 78801129 by its sum of digits (36), we get a square (2836840644 = 53262²).

It can be divided in two parts, 7880 and 1129, that added together give a palindrome (9009).

The spelling of 78801129 in words is "seventy-eight million, eight hundred one thousand, one hundred twenty-nine".