71384880 has 80 divisors (see below), whose sum is σ = 252912384. Its totient is φ = 16316160.

The previous prime is 71384879. The next prime is 71384903. The reversal of 71384880 is 8848317.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×71384880² = 10191602185228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19566 + ... + 22925.

Almost surely, 2^71384880 is an apocalyptic number.

71384880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71384880 is an abundant number, since it is smaller than the sum of its proper divisors (181527504).

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

71384880 is a wasteful number, since it uses less digits than its factorization.

71384880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42514 (or 42508 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 71384880 is about 8448.9573321209. The cubic root of 71384880 is about 414.8286513793.

The spelling of 71384880 in words is "seventy-one million, three hundred eighty-four thousand, eight hundred eighty".