71778880 has 28 divisors (see below), whose sum is σ = 170924220. Its totient is φ = 28711424.

The previous prime is 71778859. The next prime is 71778887. The reversal of 71778880 is 8887717.

It can be written as a sum of positive squares in 2 ways, for example, as 25321024 + 46457856 = 5032^2 + 6816^2 .

It is a super-2 number, since 2×71778880² = 10304415228108800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71778880.

It is not an unprimeable number, because it can be changed into a prime (71778887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111835 + ... + 112474.

Almost surely, 2^71778880 is an apocalyptic number.

It is an amenable number.

71778880 is an abundant number, since it is smaller than the sum of its proper divisors (99145340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71778880 is a wasteful number, since it uses less digits than its factorization.

71778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224326 (or 224316 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 46.

The square root of 71778880 is about 8472.2417340395. The cubic root of 71778880 is about 415.5904499895.

It can be divided in two parts, 717 and 78880, that added together give a palindrome (79597).

The spelling of 71778880 in words is "seventy-one million, seven hundred seventy-eight thousand, eight hundred eighty".